Question

Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.

Answer 1

4:3

Explanation:

We are given that

Dimension of small rectangle =
`3ft* 9ft`

Dimension of large rectangle=
`4ft* 12ft`

Perimeter of rectangle=
`2(x+y)`

Where x=Length of rectangle

y=Width of rectangle

Using the formula

Perimeter of small rectangle=
`P_1`=
`2(9+3)=24 ft`

Perimeter of large rectangle=
`P_2=2(12+4)=32ft`

`(P_2)/(P_1)=(32)/(24)`

`(P_2)/(P_1)=(4)/(3)`

The ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle=4:3