Question

The ratio of the perimeters of two rectangles is 4 to 9. The perimeter of the larger rectangle is 54 inches. What is the perimeter of the smaller rectangle?

A. 13.5 inches
B. 36 inches
C. 121.5 inches
D. 24 inches

Answer 1

The answer is D. 24 in~

Answer 2

First step up a proprotion.


`(x)/(54) = (4)/(9)`

Next, cross multiply. Cross multiplying is
`(a)/(b) = (c)/(d)` ⇒ ad = bc

So, after cross multiplying we get:


`54* 4 = 9 * x`

Simplify both sides:


`216 = 9x`

Divide both sides by 9:


`(9x)/(9) = (216)/(9)`


`\boxed{\bf{x = 24}}`

So your answer is D. 24 inches.