Question

length of a rectangle is 16 cm less than twice its breadth. if the perimeter of the rectangle is 100cm , find its length and breadth

Answer 1

Let the Breadth be a

Length = 2a - 16

Perimeter = 2 ( Length + Breadth)

=> 100 = 2 ( 2a - 16 + a)

=> 50 = 3a - 16

=> 66 = 3a

=> a = 22

Length = 22 × 2 - 16 = 44 - 16 = 28 cm

Breadth = 22 cm

Answer 2

let's its breadth be x
a.t.q.
length is 2x-16
2(2x-16+x)=100
2(3x-16)=100
3x=100/2
3x-16=50
3x=50+16
3x=66
x=22
b=22cm
l=2×22-16
=28cm