Question

Length of rectangle is 8m less than twice it's breath. If the perimeter of the perimeter of the rectangle is 56 m,find its length AND breadth.

Answer 1

Let the breadth be = x
Length = 2x-8
So, perimeter = (2x-8)+(2x-8)+x+x = 56
6x-16 = 56
6x = 56+16
6x = 72
x = 72/6
x = 12
Length = 2(12) - 8 = 24 - 8 = 16m
Breadth = 12m

Answer 2

Let the breadth of the rectangle =x m

Twice the breadth =2x m

Therefore,it's rectangle =(2x-8) m

Perimeter of the rectangle =2(length+breadth)

Thus,perimeter =2(2x-8+x) m

=2(3x-8) m

=(6x-16) m

The perimeter of rectangle is 56 m

Therefore,6x-16=56

6x=56+16

6x=72

X=72/6

X=12

Breadth of the rectangle =12 m

Length of the rectangle =2×12-8=16 m