Question

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3% B) 20% C) 25% D) 27%

Answer 1

C-25

Explanation:

Let the breadth of the rectangle = x

Length of the the rectangle will be = 3 times of breadth = 3x

So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x

New breadth after increase = x + 10x/100 = 1.1x

New length after increase = 3x + 30*3x/100 = 3.9x

New perimeter = 2(1.1x + 3.9x) = 10x

Percentage change in perimeter = ( 10x-8x)*100/8x = 25%

Answer 2

25% is the correct answer