Question

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A) 16cm B) 18cm C) 24cm D) .Data inadequate

Answer 1

Answer:

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle? l = 18 cm.

Answer 2

Answer:

B) 18 cm

Step-by-step explanation:

ratio between perimeter to breadth= 5:1

breadth=1x

perimeter=5x

perimeter=2(l+b)

5x=2(y+x)

5x=2y+2x

2y=5x-2x

2y=3x

y=3/2x

area=216cm^2

area=x×y

area=x×3/2x

216=x×3÷2x

216=3/2x^2

216÷3/2=x^2

216×2/3=x^2

144=x^2

√144=x

x=12cm

So, length=3/2x

i.e 3/2×12

length=18 cm.

That's all.

Please mark as brainliest answer.