Question

The length and breadth of rectangle are in the ratio 7:4 .find the area of the rectangle if it's perimeter is 44cm. Find the ratio of the perimeter of this rectangle to that of a square whose area is 64cm square

Answer 1

Answer:

11:8

Step-by-step explanation:

let length be 7x and breadth be 4x

Perimeter=44=2(l+b)----(i)

=2(7x+4x)

44=22x

Therefore x=2

Length=7x=14cm and breadth=4x=8cm

Therefore area of rectangle=lb=14×8=112cm²

Area of square=a²=64

Therefore a=8cm

Therefore perimeter=4a=4×8

=32cm-------(ii)

Therefore, ratio= Eq(i)÷Eq(ii)

=44÷32

=11/8

Therefore the ratio is 11:8