Question

The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216sq. Cm, what is the length of thae rectangle

Answer 1

WKT perimeter of rectangle=2(l+b)__(1)

here perimeter/breadth=5/1

so, perimeter=5xbreadth___(2)

By equation(1) and (2)

2(L+B)=5B

2L+2B=5B

2L=3B so

L=1.5B___(A)

Also area=LxB=216

By equation(A)

1.5BxB=216

B²=216/1.5=144

so B=12cm

Also by equation( A),

L=1.5x12=18cm.