Answered

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?

A13.5 inches
B36 inches
C121.5 inches
D24 inches

Verified Answer :

TSO

First step up a proprotion.

\(\frac{x}{54} = \frac{4}{9}\)

Next, cross multiply. Cross multiplying is \(\frac{a}{b} = \frac{c}{d}\) ⇒ ad = bc

So, after cross multiplying we get:

\(54\times 4 = 9 \times x\)

Simplify both sides:

\(216 = 9x\)

Divide both sides by 9:

\(\frac{9x}{9} = \frac{216}{9}\)

\(\boxed{\bf{x = 24}}\)

So your answer is D. 24 inches.

Billymkhoi

The answer is D. 24 in~

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