Question

The length and the breadth of a rectangle are in the ratio 2 : 5 . If its perimeter is 28 m , find its dimensions

Answer 1

Step-by-step explanation:

Given,

Length and breadth of the rectangle in ratio are = 2:5

Let their common factor be = x

So, length and breadth of the rectangle = 2x, 5x

Perimeter of the rectangle = 28m

Therefore,

By the problem,

=> 2(l+b) = 28 m

=> 2(2x+5x) = 28 m

=> 2 × 7x = 28m

=> 14 x = 28 m

=> x = 28/ 14

=> x = 2

Since, opposite sides of a rectangle are equal

Hence, 2 × 2 = 4, 5× 2 = 10, 4 and 10 (Ans)