Question

hi there

The length and breadth of a rectangle are in the ratio 3:2.
The length is increased by half as much and the rectangle
is enlarged. What is the ratio of the length and breadth of
the larger rectangle?

Answer 1

Perimeter of rectangle = 100m

ratio of length is to breadth = 3:2 = 3x : 2x

Perimeter = 2(l+b)

P = 2(3x+2x)

= 6x + 4x = 10x

10x = 100 ; x = 100/10 = 10

l = 3x = 3 × 10 = 30 m

b = 2x = 2 × 10 = 20 m

Area of rectangle = length × breadth ( l×b )

A = 30 × 20  = 600 sq.m