Let's solve each of these
perimeter word problems step by step. I'll explain the reasoning and provide a drawing description for each (since we can't draw here, I'll describe what to draw).
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🔹 Problem 1: Patrick’s Picture Frame
> Patrick has a rectangular picture that he wants to make a frame for. The length is 7 inches and the width is 5 inches. What is the perimeter of the picture frame?
Step 1: Understand the shape
It's a
rectangle, so we use the formula:
> Perimeter = 2 × (length + width)
Step 2: Plug in the values
- Length = 7 inches
- Width = 5 inches
- Perimeter = 2 × (7 + 5) = 2 × 12 =
24 inches
✔ Answer: 24 inches
Drawing tip: Draw a rectangle. Label the top and bottom as 7 inches, and the left and right sides as 5 inches. Add arrows around the outside to show the perimeter.
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🔹 Problem 2: Amy’s Square Garden
> Amy would like to build a fence around her garden to keep the animals out. If she has a square garden and each side is 3 yards, what is the perimeter of the garden?
Step 1: Shape is a square
All four sides are equal.
Formula for square perimeter:
> Perimeter = 4 × side
Step 2: Plug in the value
- Side = 3 yards
- Perimeter = 4 × 3 =
12 yards
✔ Answer: 12 yards
Drawing tip: Draw a square. Label all four sides as 3 yards. Show a fence line around it.
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🔹 Problem 3: Karen’s Walk Around the Lake
> Karen likes to go for a walk each morning around the lake. It is shaped like a rectangle with a length of 30 meters and a width of 20 meters. How many meters does she walk around the lake?
This is another
rectangle.
Perimeter = 2 × (length + width)
= 2 × (30 + 20) = 2 × 50 =
100 meters
✔ Answer: 100 meters
Drawing tip: Draw a large rectangle representing the lake. Label the long sides as 30 m and short sides as 20 m. Add an arrow going around the outside to represent her path.
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🔹 Problem 4: Mr. Connor’s Ribbon
> Mr. Connor wrapped a present and wanted to put a ribbon around the outside of the box. It has four sides and each side is 6 cm long. How much ribbon does he need?
"Four sides and each side is 6 cm" → This describes a
square.
So:
> Perimeter = 4 × 6 =
24 cm
✔ Answer: 24 cm
Drawing tip: Draw a square box. Label each side as 6 cm. Draw a ribbon around the outside edge.
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🔹 Problem 5: John’s Dad’s Sandbox
> John’s Dad wants to build a square sandbox in the backyard. He is going to use wood for the sides. Each side is 4 yards long. How much wood does he need?
Again, this is a
square.
> Perimeter = 4 × side = 4 × 4 =
16 yards
✔ Answer: 16 yards
Drawing tip: Draw a square. Label each side as 4 yards. Show wooden planks on each side.
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🔹 Problem 6: Field Fence
> The field needs a new wooden fence around it. The length is 50 feet and the width is 25 feet. What is the perimeter of the field?
This is a
rectangle.
> Perimeter = 2 × (length + width) = 2 × (50 + 25) = 2 × 75 =
150 feet
✔ Answer: 150 feet
Drawing tip: Draw a rectangle. Label the longer sides as 50 ft and shorter sides as 25 ft. Add a fence line around it.
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✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1 | 24 inches |
| 2 | 12 yards |
| 3 | 100 meters |
| 4 | 24 cm |
| 5 | 16 yards |
| 6 | 150 feet |
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📌 Key Formula Recap:
-
Rectangle: $ P = 2 \times (L + W) $
-
Square: $ P = 4 \times s $
Remember:
Perimeter is the total distance around the outside of a shape.
Let me know if you'd like a printable version or help turning this into a worksheet!
Parent Tip: Review the logic above to help your child master the concept of area and perimeter word problem worksheet.
