The image you've uploaded is a
perimeter word problem worksheet with five questions, each involving calculating the perimeter of different shapes. The solutions are already provided in red text, but I'll go through each problem step by step to explain how the answers were derived.
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🔷 Problem 1: Mary's Square Yard
> Mary is going to fence in her back yard. The yard is square in shape and one of the sides measures 12 feet. How many feet of fence should Mary purchase?
Solution:
- A
square has 4 equal sides.
- Each side = 12 feet
- Perimeter of a square = $ 4 \times \text{side} $
- $ 4 \times 12 = 48 $ feet
✔ But wait! The answer shown in red says:
👉
"12 ft X 4 = 36 feet" → This is
incorrect.
Correction:
$ 12 \times 4 = 48 $ feet
✘ So the correct answer should be
48 feet, not 36.
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🔷 Problem 2: Martha's Dog Pen (Rectangle)
> Martha needs to put a fence around her dog’s pen. She wants the pen to be a rectangle that is 11 feet long and 5 feet wide. How much fence will she need?
Solution:
- Perimeter of a rectangle = $ 2 \times (\text{length} + \text{width}) $
- Or: $ 2L + 2W $
- $ 2 \times 11 = 22 $
- $ 2 \times 5 = 10 $
- $ 22 + 10 = 32 $ feet
✔ Correct!
Answer:
32 feet
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🔷 Problem 3: Arnold's Picture Frame
> Arnold wants to put a frame around a picture that is 24 inches by 12 inches. How many inches of frame would be required?
Solution:
- Again, this is a rectangle.
- Perimeter = $ 2 \times (24 + 12) = 2 \times 36 = 72 $ inches
- Or: $ (2 \times 24) + (2 \times 12) = 48 + 24 = 72 $
✔ Correct!
Answer:
72 inches
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🔷 Problem 4: Bernard's Room
> Bernard wants to measure the perimeter of his room. The room is rectangular in shape and is 11 feet long and 12 feet wide. What is the perimeter?
Solution:
- $ 2 \times 11 = 22 $
- $ 2 \times 12 = 24 $
- $ 22 + 24 = 46 $ feet
✔ Correct!
Answer:
46 feet
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🔷 Problem 5: Bonnie's Triangular Field
> Bonnie's soccer coach has the team run around a triangular field. If the sides of the triangle are 50 yards, 75 yards, and 115 yards. How far will Bonnie run?
Solution:
- Perimeter of a triangle = sum of all three sides
- $ 50 + 75 + 115 = 240 $ yards
✔ Correct!
Answer:
240 yards
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✔ Summary of Corrections:
| Problem | Given Answer | Correct Answer | Notes |
|--------|---------------|----------------|-------|
| 1 | 36 feet
✘ |
48 feet ✔ | Mistake: $12 \times 4 = 48$, not 36 |
| 2 | 32 feet
✔ | 32 feet
✔ | Correct |
| 3 | 72 inches
✔ | 72 inches
✔ | Correct |
| 4 | 46 feet
✔ | 46 feet
✔ | Correct |
| 5 | 240 yards
✔ | 240 yards
✔ | Correct |
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🧠 Key Concepts Recap:
-
Square: $ P = 4s $
-
Rectangle: $ P = 2(l + w) $ or $ 2l + 2w $
-
Triangle: $ P = a + b + c $
-
Perimeter = total distance around the shape
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🛠️ Final Answer:
Only
Problem 1 has an error. The correct amount of fencing Mary needs is:
>
48 feet
All other answers are correct as shown.
Let me know if you'd like a corrected version of the worksheet!
Parent Tip: Review the logic above to help your child master the concept of area and perimeter word problems worksheet pdf.
