The ratio of the length to width of a certain rectangle is 3 ∶ 2 and the area is 150 cm². The perimeter of the rectangle (in cm) is:

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)

Answer 1

Given:

The ratio of length and breadth of a rectangle = 3 : 2

Formula used:

if A is the length and B is the breadth of the rectangle, then

Area of rectangle = A × B

Perimeter of rectangle = 2(A + B)

Calculation:

let length and breadth be 3x and 2x respectively

Now, According to the question

⇒ 3x × 2x = 150

⇒ 6x² = 150

⇒ x² = 25

⇒ x = 5

length = 3 × 5 = 15 cm

breadth =2 × 5 = 10 cm

perimeter of rectangle = 2(15 + 10)

perimeter of rectangle = 50 cm

∴The perimeter of the rectangle is 50 cm.