Question

The length and breadth of a rectangle are 15 cm and 13 cm. The perimeter of a square is same with the perimeter of the rectangle. What is the area of the square?

• A. 156 sq.cm
• B. 169 sq.cm
• C. 196 sq.cm
• D. 212 sq.cm

Answer 1

Answer:

C. 196 sq.cm

Solution:

Given:

Length (L) = 15 cm and Breadth (B) = 13 cm

Concept Used:

Perimeter of rectangle = 2 × (L + B)

Perimeter of square = 4 × Side

Area of square = Side × Side

Calculation:

Perimeter of rectangle = 2 × (15 + 13) = 56 cm

⇒ Perimeter of square = 56 cm

Let, side of square be a

Accordingly,

4a = 56

⇒ a = 14

Area of square = 14 × 14 = 196 cm²

∴ The required area of the square is 196 cm².