Question

A rectangle has length which is 5cm.less than twice its breadth.if the length is decreased by 5cm.and breadth is increased by 2cm,the parameter of the resulting rectangle will be 74cm.find length and breadth of the original rectangle?

Answer 1

Breadth = x
Length = 2x - 5
Then the length is decreased by 5
= 2x - 10
The breadth is increased by 2
= x + 2
Perimeter = 2*breadth + 2*length
74 = 2*(x + 2)+ 2*(2x - 10)

74 = 2x + 4 + 4x - 20
74 = 6x - 16
6x = 74 + 16
6x = 90
x = 15 cm
Breadth = 15cm
Length = 25cm
Hope this helps.
:-)