Question

the ratio of the area of a rectangle to that of a square is 3:2.the perimeter of the square is 32cm .the ratio of the breadth to the length of the rectangle is 2:3.find the difference between the perimeter of the square and the rectangle​

Answer 1

Step-by-step explanation:

The perimeter of squire is 32 cm

Then side of square =

4

32

=8 cm

Then area of square =(8)

2

=64 cm

2

The ratio of the area of a rectangle to that of a square is 3:2

then area of rectangle =

2

3

×64=96 cm

2

Let the length of rectangle angle is 3x, and breadth is 2x

Then area of rectangle =3x×2x=96

⇒6x

2

=96⇒x

2

=16⇒x=4 cm

Then length of rectangle =3×4=12 and breadth =2×4=8 cm

Then perimeter of rectangle =2(12+8)=40

Then difference between the perimeter of the square and the rectangle =40−32=8 cm