Question

the length of a rectangle is 20cm more than its breadth . If the perimeter is 100cm , find the dimension of the rectangle.

Answer 1

Given,
breadth of the rectangle (b) = ?
length of the rectangle (L) = (b+20cm)
Perimeter of rectangle = 100cm

Since,

Perimeter Of A Rectangle = 2(L+b)

Therefore,

100cm = 2 [ (b+20cm) + b ]
100cm = 2 × ( 2b +40cm )
100cm = 4b + 40cm

100cm - 40cm = 4b
60 cm = 4b

Therefore,
b = 60cm ÷ 4
b=15cm

Hence,
Breadth = b = 15cm
Length = L = (b+20cm)
= 15cm + 20cm
= 35 cm