Question

The ratio of the perimeter of a square to the length of a rectangle is 5:6.

The ratio of the length to the width of the rectangle is 3:2.
The perimeter of a rectangle is 60cm.
Find the area of the square.​

Answer 1

=225/16cm^2

Step-by-step explanation:

Given

The ratio of the length to the width of the rectangle =3:2.

The perimeter of a rectangle = 60cm.

Solution

Let length=3x

width=2x

Perimeter of rectangle=2(length + width)

2(3x+2x)=60

5x*2=60

10X=60

X=60/10

X=6

SO LENGTH =3×6=18cm

WIDTH=2×6

=12cm

Let perimeter of the square=5x

Length of rectangle=6x

6x = 18

X=18/6

X=3

SO PERIMETER OF SQUARE=5×3

4SIDE=15

Side=15/4

Area of square=15/4×15/4

=225/16cm^2