Question

The perimeter of a rectangle is 24 cm. If the length of the rectangle is 7cm, what is the area of the rectangle?

1. 28 cm²
2. 32 cm²
3. 34 cm²
4. 35 cm²

Answer 1

Correct Answer - Option 4 : 35 cm²

Given:

The perimeter of a rectangle is 24 cm. and the length of the rectangle is 7cm

Concept Used:

1.) Concept of the linear equation of single variable

2.) Perimeter of a rectangle is {2 × (Length + Breadth)} unit

3.) Area of a rectangle = (Length × Breadth) unit²

Calculation:

Let the breadth of the rectangle be x cm

Length of the rectangle is 24 cm and length is 7 cm

Accordingly,

2 × ( 7 + x) = 24

⇒ 7 + x = 12

⇒ x = 5

Breadth of the rectangle is 5 cm

Area of the rectangle = Length × Breadth

⇒ 7 × 5

⇒ 35 cm²

∴ Area of the rectangle is 35 cm²