Math worksheet for calculating area and perimeter of rectangles.

Let’s solve each problem step by step, using the formulas:

- Perimeter of a rectangle = 2 × (length + width)
- Area of a rectangle = length × width

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## Problem 1: Determine the perimeter and area of rectangles A and B

Since these are drawn on grid paper, we can count the squares to find the dimensions.

Rectangle A:

- Count the horizontal side (width): 6 units
- Count the vertical side (height): 8 units

→ Area A = 6 × 8 = 48 square units
→ Perimeter A = 2 × (6 + 8) = 2 × 14 = 28 units

✔ A = 48
✔ P = 28

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Rectangle B:

- Width: 8 units
- Height: 5 units

→ Area B = 8 × 5 = 40 square units
→ Perimeter B = 2 × (8 + 5) = 2 × 13 = 26 units

✔ A = 40
✔ P = 26

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## Problem 2: Determine the perimeter and area of each rectangle

a. Dimensions: 5 cm and 6 cm

→ Perimeter P = 2 × (5 + 6) = 2 × 11 = 22 cm
→ Area A = 5 × 6 = 30 cm²

✔ P = 22 cm
✔ A = 30 cm²

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b. Dimensions: 3 cm and 8 cm

→ Perimeter P = 2 × (3 + 8) = 2 × 11 = 22 cm
→ Area A = 3 × 8 = 24 cm²

✔ P = 22 cm
✔ A = 24 cm²

*(Note: Same perimeter as part a, but different area — shows how shape affects area even with same perimeter.)*

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## Problem 3: Determine the perimeter of each rectangle

We’re only asked for perimeter here.

a. Dimensions: 166 m and 99 m

→ Perimeter P = 2 × (166 + 99) = 2 × 265 = 530 m

✔ P = 530 m

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b. Dimensions: 1 m 50 cm and 75 cm

First, convert everything to the same unit — let’s use centimeters.

- 1 m 50 cm = 100 cm + 50 cm = 150 cm
- Other side = 75 cm

→ Perimeter P = 2 × (150 + 75) = 2 × 225 = 450 cm

You could also express it in meters: 450 cm = 4.5 m

But since the inputs were mixed, and no unit specified for answer, 450 cm is fine, or you can write 4.5 m.

✔ P = 450 cm (or 4.5 m)

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## ✔ Final Answers:

1.

- Rectangle A: A = 48, P = 28
- Rectangle B: A = 40, P = 26

2.

- a. P = 22 cm, A = 30 cm²
- b. P = 22 cm, A = 24 cm²

3.

- a. P = 530 m
- b. P = 450 cm (or 4.5 m)

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Let me know if you’d like to see diagrams or step-by-step counting for Problem 1!