Math worksheet for calculating area and perimeter of shapes.

Let's solve the problems step by step based on the worksheet you provided.

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Problem 1: Rectangle (10 cm × 5 cm)

Given:
- Length = 10 cm
- Width = 5 cm

Area of a rectangle = length × width
= 10 cm × 5 cm = 50 cm²

Perimeter of a rectangle = 2 × (length + width)
= 2 × (10 + 5) = 2 × 15 = 30 cm

✔ Answers:
- Area = 50 cm²
- Perimeter = 30 cm

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Problem 2: Square (7 cm side)

Given:
- Side = 7 cm (since it's a square, all sides are equal)

Area of a square = side × side
= 7 cm × 7 cm = 49 cm²

Perimeter of a square = 4 × side
= 4 × 7 = 28 cm

✔ Answers:
- Area = 49 cm²
- Perimeter = 28 cm

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Problem 3: Which defines perimeter?

> Question: Which of the following perfectly defines perimeter of a shape?

a) total distance around a figure
b) space (square units) covered by a figure

- Perimeter is the total distance around the outside of a shape.
- Area is the space inside the shape (in square units).

✔ Correct answer: a) total distance around a figure

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Problem 4: Perimeter of a rectangle

> Question: Perimeter of a rectangle =

a) 2(length + width)
b) 2(length) + width

The correct formula is:
P = 2(l + w) → which is the same as 2l + 2w

Option a) is correct.

✔ Answer: a) 2(length + width)

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Problem 5: Area of a square

> Question: Area of a square =

a) 2(length + length)
b) length × length

Area of a square = side × side = length × length

✔ Answer: b) length × length

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✔ Final Answers:

#### 1) Rectangle (10 cm × 5 cm):
- Area = 50 cm²
- Perimeter = 30 cm

#### 2) Square (7 cm side):
- Area = 49 cm²
- Perimeter = 28 cm

#### 3) Perimeter definition:
- a) total distance around a figure

#### 4) Perimeter of a rectangle:
- a) 2(length + width)

#### 5) Area of a square:
- b) length × length

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