Question

Length : breadth = 8:5. Length is 10 more than breadth. Find length and breadth

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

Answer 2

let length be 8x and breadth be 5x
a/q
8x-5x=10
thus 3x=10
x=10/3
so length =80/3
and breadth =50/3