It looks like you've uploaded a worksheet titled
"PERIMETER" with several geometric shapes and their side lengths. The task is to calculate the
perimeter of each shape using the given dimensions.
Let’s go through each problem step by step, explaining how to find the perimeter.
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🔷 What is Perimeter?
The
perimeter of a shape is the total distance around its edges. For polygons, you add up the lengths of all sides.
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✔ Problem 1: Rectangle
- Dimensions: 28 in (height), 53 in (width)
- Formula for rectangle perimeter:
$$
P = 2 \times (\text{length} + \text{width})
$$
- Plug in values:
$$
P = 2 \times (28 + 53) = 2 \times 81 = 162 \text{ in}
$$
✔ Perimeter = 162 inches
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✔ Problem 2: Square
- All sides = 36 in
- Formula for square perimeter:
$$
P = 4 \times \text{side}
$$
- Plug in:
$$
P = 4 \times 36 = 144 \text{ in}
$$
✔ Perimeter = 144 inches
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✔ Problem 3: Triangle
- Sides: 21 cm, 36 cm, 37 cm
- Formula: Add all three sides
$$
P = 21 + 36 + 37 = 94 \text{ cm}
$$
✔ Perimeter = 94 cm
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✔ Problem 4: Trapezoid
- Sides: 43 ft, 31 ft, 24 ft, 31 ft
- Add all four sides:
$$
P = 43 + 31 + 24 + 31 = 129 \text{ ft}
$$
✔ Perimeter = 129 feet
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✔ Problem 5: Triangle (partial view)
- Given sides: 32 mm, 32 mm (looks like an isosceles triangle)
- But one side is missing or cut off in the image.
- However, if it's an
isosceles triangle, and both equal sides are 32 mm, we still need the base.
- Since the third side isn’t visible clearly, we can't compute it accurately from this image.
⚠️
Note: Without the full length of the third side, we cannot calculate the perimeter. If you know the base, just add all three sides.
But assuming it's a
triangle with two sides of 32 mm and a base that might be labeled elsewhere — but not visible here — we can't proceed without more info.
➡️
If the base is also 32 mm, then it's equilateral:
$$
P = 32 + 32 + 32 = 96 \text{ mm}
$$
But this is
assumption-based.
So unless the third side is visible, we can’t give a definite answer.
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✔ Problem 6: Triangle (only partial visible)
- Only one side is visible: 32 mm
- Other sides are not shown or cut off.
- Cannot compute perimeter without all side lengths.
✘ Insufficient data for problems 5 and 6 due to incomplete image.
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📝 Summary of Answers:
| Problem | Shape | Perimeter |
|--------|--------------|-------------------|
| 1 | Rectangle | 162 in |
| 2 | Square | 144 in |
| 3 | Triangle | 94 cm |
| 4 | Trapezoid | 129 ft |
| 5 | Triangle |
✘ Missing side |
| 6 | Triangle |
✘ Missing side |
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✔ Final Answer (for solvable ones):
1.
162 in
2.
144 in
3.
94 cm
4.
129 ft
> For problems 5 and 6, please provide the missing side lengths or clarify the shape so I can help complete them.
Let me know if you'd like this formatted as a filled-in worksheet!
Parent Tip: Review the logic above to help your child master the concept of same perimeter different area worksheet.
