Perimeter Word Problems Worksheet with six real-world scenarios requiring calculation of perimeter for rectangles, squares, and other shapes.

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-by-step Solution:
- A rectangle has two lengths and two widths.
- Perimeter formula for a rectangle:
$$
P = 2 \times (\text{length} + \text{width})
$$
- Plug in the values:
$$
P = 2 \times (7 + 5) = 2 \times 12 = 24 \text{ inches}
$$

#### 🖼️ Drawing Description:
Draw a rectangle. Label the top and bottom sides as 7 inches (length), and the left and right sides as 5 inches (width). Write "Perimeter = 24 inches" below.

✔ Answer: 24 inches

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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-by-step Solution:
- A square has four equal sides.
- Perimeter of a square:
$$
P = 4 \times \text{side}
$$
- Plug in:
$$
P = 4 \times 3 = 12 \text{ yards}
$$

#### 🖼️ Drawing Description:
Draw a square. Label all four sides as 3 yards. Write “Perimeter = 12 yards” below.

✔ Answer: 12 yards

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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?

#### ✔ Step-by-step Solution:
- This is a rectangle again.
- Use the same formula:
$$
P = 2 \times (\text{length} + \text{width}) = 2 \times (30 + 20) = 2 \times 50 = 100 \text{ meters}
$$

#### 🖼️ Drawing Description:
Draw a large rectangle. Label the long sides as 30 m, short sides as 20 m. Show an arrow going around the outside to represent walking. Write “Perimeter = 100 meters”.

✔ Answer: 100 meters

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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?

#### ✔ Step-by-step Solution:
- The box is a square (four equal sides).
- So, perimeter = $ 4 \times 6 = 24 $ cm.

#### 🖼️ Drawing Description:
Draw a square labeled with each side as 6 cm. Draw a ribbon going around the edges. Write “Ribbon needed = 24 cm”.

✔ Answer: 24 centimeters

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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?

#### ✔ Step-by-step Solution:
- Again, a square with 4 equal sides.
- Total wood needed = perimeter = $ 4 \times 4 = 16 $ yards.

#### 🖼️ Drawing Description:
Draw a square. Label each side as 4 yards. Add a label: “Wood needed = 16 yards”.

✔ Answer: 16 yards

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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?

#### ✔ Step-by-step Solution:
- Rectangle again.
- $ P = 2 \times (50 + 25) = 2 \times 75 = 150 $ feet.

#### 🖼️ Drawing Description:
Draw a rectangle. Label long sides as 50 ft, short sides as 25 ft. Add a dashed line around the edge to show fencing. Write “Fence length = 150 feet”.

✔ Answer: 150 feet

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 24 inches |
| 2 | 12 yards |
| 3 | 100 meters |
| 4 | 24 centimeters |
| 5 | 16 yards |
| 6 | 150 feet |

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💡 Key Tips:

- Rectangle: $ P = 2(l + w) $
- Square: $ P = 4s $
- Always check units! (inches, feet, yards, meters, cm)
- Drawing helps visualize the shape and confirm you’re adding the correct sides.

Let me know if you'd like this formatted as a printable worksheet or with actual drawings added!