Question

If the area of a square is (1/4)th area of rectangle amd the sides of the rectangle is 36 cm and 16 cm, then find the perimeter of the square.
1. 48 cm
2. 24 cm
3. 12 cm
4. 20 cm

Answer 1

Correct Answer - Option 1 : 48 cm

Given

Area of square = (1/4)th area of rectangle

Formula used

Area of rectangle = length ×  breadth

Area of square = (side)²

Calculation

Area of rectangle = 36 × 16

⇒ 576 cm²

Area of square = (1/4) × 576

⇒ 144 cm²

Side of a square = √144

⇒ 12 cm

Perimeter of square = 4 × 12

⇒ 48 cm

∴ Perimeter of square is 48 cm