Perimeter Playground worksheet for calculating perimeter of various shapes with real-world measurements.
Worksheet titled "Perimeter Playground" with eight figures (rectangles, triangles, trapezoids) showing dimensions in feet and yards, each with a child-themed illustration.
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Show Answer Key & Explanations
Step-by-step solution for: FREE) Perimeter Playground Activity Page - Worksheet | Math school ...
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Show Answer Key & Explanations
Step-by-step solution for: FREE) Perimeter Playground Activity Page - Worksheet | Math school ...
Let’s solve each problem one by one. Remember, perimeter means adding up all the sides of a shape.
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Problem 1: Rectangle (24 ft by 8 ft)
A rectangle has two pairs of equal sides.
So, add: 24 + 8 + 24 + 8 =
24 + 24 = 48
8 + 8 = 16
48 + 16 = 64 ft
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Problem 2: Rectangle (18 ft by 5 ft)
Add all four sides: 18 + 5 + 18 + 5 =
18 + 18 = 36
5 + 5 = 10
36 + 10 = 46 ft
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Problem 3: Trapezoid (sides: 9 yds, 8 yds, 5 yds, 8 yds)
Wait — looking at the drawing, it shows top = 9 yds, bottom = 5 yds, and both slanted sides = 8 yds? Actually, in the image, it looks like the left and right sides are labeled “8 yds” each, top is “9 yds”, bottom is “5 yds”. So we add them all:
9 + 8 + 5 + 8 =
9 + 5 = 14
8 + 8 = 16
14 + 16 = 30 yds
*(Note: Sometimes trapezoids have different side lengths, but here all four sides are given or implied as 9, 8, 5, 8.)*
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Problem 4: Triangle (sides: 20 ft, 20 ft, 20 ft)
This is an equilateral triangle — all sides equal.
20 + 20 + 20 = 60 ft
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Problem 5: Pentagon-like shape (house with roof): sides are 38 ft, 15 ft, 4 ft, 4 ft, 38 ft?
Looking at the diagram:
- Bottom = 38 ft
- Left vertical = 15 ft
- Right vertical = ? Wait — actually, the drawing shows:
Left side = 15 ft
Right side = also 15 ft? No — wait, the labels say:
Top-left slant = 4 ft
Top-right slant = 4 ft
Bottom = 38 ft
Left vertical = 15 ft
Right vertical = ??? Hmm — actually, re-examining: The figure is a rectangle with a triangle on top. But the sides labeled are:
Left side = 15 ft
Right side = not labeled? Wait — no, in the image, it says:
“38 ft” on bottom, “15 ft” on left, “4 ft” on top-left slope, “4 ft” on top-right slope, and then the right side must be same as left? Actually, no — the right side isn’t labeled, but since it’s symmetric, maybe it’s also 15 ft? But that would make it a pentagon with sides: 15, 4, ?, 4, 38 — missing one.
Wait — let me look again. In the original image description for #5:
It says: “38 ft” (bottom), “15 ft” (left side), “4 ft” (top left diagonal), “4 ft” (top right diagonal), and then the right side — probably also 15 ft? But that doesn’t match because if you go around: start at bottom left → up 15 ft → diagonally up-right 4 ft → diagonally down-right 4 ft → down 15 ft → back along bottom 38 ft. That makes sense! So sides are: 15, 4, 4, 15, 38.
Add them:
15 + 4 = 19
19 + 4 = 23
23 + 15 = 38
38 + 38 = 76 ft
Wait — that can’t be right because 15+4+4+15+38 = let's compute step by step:
15 + 4 = 19
19 + 4 = 23
23 + 15 = 38
38 + 38 = 76 → yes, 76 ft
But hold on — is the right side really 15 ft? In many such problems, if it’s symmetric, yes. And since only left is labeled 15, but right should be same. Alternatively, maybe the 15 ft is only on left, and right is unlabeled — but that wouldn’t make sense. Looking back at user’s image description: “5. 38 ft, 15 ft, 4 ft, 4 ft” — so likely five sides: bottom 38, left 15, top-left 4, top-right 4, and right side must be 15 to close the shape. So total = 38 + 15 + 4 + 4 + 15 = 76 ft.
Yes.
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Problem 6: Rectangle (42 ft by 10 ft)
Perimeter = 42 + 10 + 42 + 10 =
42 + 42 = 84
10 + 10 = 20
84 + 20 = 104 ft
Wait — but in the image, it says “42 ft” on top, “10 ft” on left, “9 ft” on right? Oh no — I think I misread.
Looking again: Problem 6 says:
“42 ft” (top), “10 ft” (left), “9 ft” (right)? That can’t be a rectangle then.
Actually, in the user’s text: “6. 42 ft, 10 ft, 9 ft” — and from context, it’s a rectangle? But 10 and 9 are different? That suggests it might not be a rectangle.
Wait — perhaps it’s a rectangle with length 42 ft, and width... but left is 10 ft, right is 9 ft? That doesn’t make sense unless it’s a typo or I’m misreading.
Alternatively, maybe the 10 ft and 9 ft are heights? But in standard perimeter problems, if it’s a rectangle, opposite sides are equal.
Perhaps the figure is a rectangle with length 42 ft and width 10 ft, and the “9 ft” is a mistake? Or maybe it’s not a rectangle.
Looking at the original problem statement in the image description: “6. 42 ft, 10 ft, 9 ft” — and it’s drawn as a rectangle with kids sitting, so likely it’s meant to be a rectangle with sides 42 ft and 10 ft, and the “9 ft” might be a distractor or error? But that doesn’t make sense.
Wait — perhaps the 10 ft is the height on left, 9 ft on right? Then it’s a trapezoid? But the top and bottom are both 42 ft? That would make it a rectangle only if heights are equal.
I think there might be a mislabeling. Let me assume based on common problems: if it’s a rectangle, and top is 42 ft, left is 10 ft, then right should also be 10 ft, bottom 42 ft. But the label says “9 ft” on right — perhaps it’s a typo, or perhaps it’s not a rectangle.
Another possibility: the figure is a rectangle with length 42 ft, and the widths are 10 ft and 9 ft? That doesn't work.
Perhaps the “10 ft” and “9 ft” are the two widths, meaning it’s a trapezoid? But then what are the other sides?
This is confusing. Let me check the original user input: “6. 42 ft, 10 ft, 9 ft” — and in the context, it’s probably intended to be a rectangle with dimensions 42 ft by 10 ft, and the “9 ft” might be a mistake or refers to something else.
But to be accurate, let's assume the shape has sides: top 42 ft, bottom 42 ft, left 10 ft, right 9 ft — then perimeter = 42 + 42 + 10 + 9 = 103 ft.
That seems plausible. Maybe it's not a perfect rectangle, or the drawing has slight asymmetry.
In many worksheets, they might show a rectangle but label one side differently by mistake, but here since both left and right are labeled, we should use them.
So: 42 (top) + 9 (right) + 42 (bottom) + 10 (left) = 42+42=84, 10+9=19, total 84+19= 103 ft
Yes, that makes sense.
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Problem 7: Square (22 ft by 22 ft)
All sides equal. Perimeter = 22 + 22 + 22 + 22 = 88 ft
Or 4 × 22 = 88 ft
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Problem 8: Rectangle (11 ft by 11 ft)? Wait — it says "11 ft" on left and bottom, but is it a square?
The description says: “8. 11 ft, 11 ft” — and it’s a rectangle with two kids, so likely it’s a square? Or rectangle with length and width both 11 ft? Then it’s a square.
Perimeter = 11 + 11 + 11 + 11 = 44 ft
Or 4 × 11 = 44 ft
But let's confirm: if it's labeled 11 ft on left and 11 ft on bottom, and it's a rectangle, then yes, all sides 11 ft.
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Now, let's list all answers:
1. 64 ft
2. 46 ft
3. 30 yds
4. 60 ft
5. 76 ft
6. 103 ft (assuming sides 42, 10, 42, 9)
7. 88 ft
8. 44 ft
Wait — for problem 6, I assumed sides are 42, 10, 42, 9. But in a quadrilateral, if top and bottom are both 42, and left is 10, right is 9, then yes, perimeter is sum of all four.
Similarly, for problem 3, I used 9,8,5,8 — which adds to 30.
For problem 5, 15,4,4,15,38 = 76.
Let me double-check problem 5: 15 + 4 = 19; 19 + 4 = 23; 23 + 15 = 38; 38 + 38 = 76 — yes.
Problem 6: 42 + 10 + 42 + 9 = let's calculate: 42+42=84, 10+9=19, 84+19=103 — correct.
Now, units: some are in ft, some in yds. We keep them as given.
Final Answers:
1. 64 ft
2. 46 ft
3. 30 yds
4. 60 ft
5. 76 ft
6. 103 ft
7. 88 ft
8. 44 ft
I think that's all.
Final Answer:
1. 64 ft
2. 46 ft
3. 30 yds
4. 60 ft
5. 76 ft
6. 103 ft
7. 88 ft
8. 44 ft
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Problem 1: Rectangle (24 ft by 8 ft)
A rectangle has two pairs of equal sides.
So, add: 24 + 8 + 24 + 8 =
24 + 24 = 48
8 + 8 = 16
48 + 16 = 64 ft
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Problem 2: Rectangle (18 ft by 5 ft)
Add all four sides: 18 + 5 + 18 + 5 =
18 + 18 = 36
5 + 5 = 10
36 + 10 = 46 ft
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Problem 3: Trapezoid (sides: 9 yds, 8 yds, 5 yds, 8 yds)
Wait — looking at the drawing, it shows top = 9 yds, bottom = 5 yds, and both slanted sides = 8 yds? Actually, in the image, it looks like the left and right sides are labeled “8 yds” each, top is “9 yds”, bottom is “5 yds”. So we add them all:
9 + 8 + 5 + 8 =
9 + 5 = 14
8 + 8 = 16
14 + 16 = 30 yds
*(Note: Sometimes trapezoids have different side lengths, but here all four sides are given or implied as 9, 8, 5, 8.)*
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Problem 4: Triangle (sides: 20 ft, 20 ft, 20 ft)
This is an equilateral triangle — all sides equal.
20 + 20 + 20 = 60 ft
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Problem 5: Pentagon-like shape (house with roof): sides are 38 ft, 15 ft, 4 ft, 4 ft, 38 ft?
Looking at the diagram:
- Bottom = 38 ft
- Left vertical = 15 ft
- Right vertical = ? Wait — actually, the drawing shows:
Left side = 15 ft
Right side = also 15 ft? No — wait, the labels say:
Top-left slant = 4 ft
Top-right slant = 4 ft
Bottom = 38 ft
Left vertical = 15 ft
Right vertical = ??? Hmm — actually, re-examining: The figure is a rectangle with a triangle on top. But the sides labeled are:
Left side = 15 ft
Right side = not labeled? Wait — no, in the image, it says:
“38 ft” on bottom, “15 ft” on left, “4 ft” on top-left slope, “4 ft” on top-right slope, and then the right side must be same as left? Actually, no — the right side isn’t labeled, but since it’s symmetric, maybe it’s also 15 ft? But that would make it a pentagon with sides: 15, 4, ?, 4, 38 — missing one.
Wait — let me look again. In the original image description for #5:
It says: “38 ft” (bottom), “15 ft” (left side), “4 ft” (top left diagonal), “4 ft” (top right diagonal), and then the right side — probably also 15 ft? But that doesn’t match because if you go around: start at bottom left → up 15 ft → diagonally up-right 4 ft → diagonally down-right 4 ft → down 15 ft → back along bottom 38 ft. That makes sense! So sides are: 15, 4, 4, 15, 38.
Add them:
15 + 4 = 19
19 + 4 = 23
23 + 15 = 38
38 + 38 = 76 ft
Wait — that can’t be right because 15+4+4+15+38 = let's compute step by step:
15 + 4 = 19
19 + 4 = 23
23 + 15 = 38
38 + 38 = 76 → yes, 76 ft
But hold on — is the right side really 15 ft? In many such problems, if it’s symmetric, yes. And since only left is labeled 15, but right should be same. Alternatively, maybe the 15 ft is only on left, and right is unlabeled — but that wouldn’t make sense. Looking back at user’s image description: “5. 38 ft, 15 ft, 4 ft, 4 ft” — so likely five sides: bottom 38, left 15, top-left 4, top-right 4, and right side must be 15 to close the shape. So total = 38 + 15 + 4 + 4 + 15 = 76 ft.
Yes.
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Problem 6: Rectangle (42 ft by 10 ft)
Perimeter = 42 + 10 + 42 + 10 =
42 + 42 = 84
10 + 10 = 20
84 + 20 = 104 ft
Wait — but in the image, it says “42 ft” on top, “10 ft” on left, “9 ft” on right? Oh no — I think I misread.
Looking again: Problem 6 says:
“42 ft” (top), “10 ft” (left), “9 ft” (right)? That can’t be a rectangle then.
Actually, in the user’s text: “6. 42 ft, 10 ft, 9 ft” — and from context, it’s a rectangle? But 10 and 9 are different? That suggests it might not be a rectangle.
Wait — perhaps it’s a rectangle with length 42 ft, and width... but left is 10 ft, right is 9 ft? That doesn’t make sense unless it’s a typo or I’m misreading.
Alternatively, maybe the 10 ft and 9 ft are heights? But in standard perimeter problems, if it’s a rectangle, opposite sides are equal.
Perhaps the figure is a rectangle with length 42 ft and width 10 ft, and the “9 ft” is a mistake? Or maybe it’s not a rectangle.
Looking at the original problem statement in the image description: “6. 42 ft, 10 ft, 9 ft” — and it’s drawn as a rectangle with kids sitting, so likely it’s meant to be a rectangle with sides 42 ft and 10 ft, and the “9 ft” might be a distractor or error? But that doesn’t make sense.
Wait — perhaps the 10 ft is the height on left, 9 ft on right? Then it’s a trapezoid? But the top and bottom are both 42 ft? That would make it a rectangle only if heights are equal.
I think there might be a mislabeling. Let me assume based on common problems: if it’s a rectangle, and top is 42 ft, left is 10 ft, then right should also be 10 ft, bottom 42 ft. But the label says “9 ft” on right — perhaps it’s a typo, or perhaps it’s not a rectangle.
Another possibility: the figure is a rectangle with length 42 ft, and the widths are 10 ft and 9 ft? That doesn't work.
Perhaps the “10 ft” and “9 ft” are the two widths, meaning it’s a trapezoid? But then what are the other sides?
This is confusing. Let me check the original user input: “6. 42 ft, 10 ft, 9 ft” — and in the context, it’s probably intended to be a rectangle with dimensions 42 ft by 10 ft, and the “9 ft” might be a mistake or refers to something else.
But to be accurate, let's assume the shape has sides: top 42 ft, bottom 42 ft, left 10 ft, right 9 ft — then perimeter = 42 + 42 + 10 + 9 = 103 ft.
That seems plausible. Maybe it's not a perfect rectangle, or the drawing has slight asymmetry.
In many worksheets, they might show a rectangle but label one side differently by mistake, but here since both left and right are labeled, we should use them.
So: 42 (top) + 9 (right) + 42 (bottom) + 10 (left) = 42+42=84, 10+9=19, total 84+19= 103 ft
Yes, that makes sense.
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Problem 7: Square (22 ft by 22 ft)
All sides equal. Perimeter = 22 + 22 + 22 + 22 = 88 ft
Or 4 × 22 = 88 ft
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Problem 8: Rectangle (11 ft by 11 ft)? Wait — it says "11 ft" on left and bottom, but is it a square?
The description says: “8. 11 ft, 11 ft” — and it’s a rectangle with two kids, so likely it’s a square? Or rectangle with length and width both 11 ft? Then it’s a square.
Perimeter = 11 + 11 + 11 + 11 = 44 ft
Or 4 × 11 = 44 ft
But let's confirm: if it's labeled 11 ft on left and 11 ft on bottom, and it's a rectangle, then yes, all sides 11 ft.
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Now, let's list all answers:
1. 64 ft
2. 46 ft
3. 30 yds
4. 60 ft
5. 76 ft
6. 103 ft (assuming sides 42, 10, 42, 9)
7. 88 ft
8. 44 ft
Wait — for problem 6, I assumed sides are 42, 10, 42, 9. But in a quadrilateral, if top and bottom are both 42, and left is 10, right is 9, then yes, perimeter is sum of all four.
Similarly, for problem 3, I used 9,8,5,8 — which adds to 30.
For problem 5, 15,4,4,15,38 = 76.
Let me double-check problem 5: 15 + 4 = 19; 19 + 4 = 23; 23 + 15 = 38; 38 + 38 = 76 — yes.
Problem 6: 42 + 10 + 42 + 9 = let's calculate: 42+42=84, 10+9=19, 84+19=103 — correct.
Now, units: some are in ft, some in yds. We keep them as given.
Final Answers:
1. 64 ft
2. 46 ft
3. 30 yds
4. 60 ft
5. 76 ft
6. 103 ft
7. 88 ft
8. 44 ft
I think that's all.
Final Answer:
1. 64 ft
2. 46 ft
3. 30 yds
4. 60 ft
5. 76 ft
6. 103 ft
7. 88 ft
8. 44 ft
Parent Tip: Review the logic above to help your child master the concept of fun perimeter worksheet.