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

Question

mathstudent55 · Answer

Use a proportion with these ratios.
The ratio between the perimeters is 4:9 or 4/9.
Since the larger one is 54, that corresponds to 9 (bec 9 is greater than 4), so the second ratio is x:54 or x/54
Now set the ratios equal to each other. That is a proportion. Then solve the proportion.

anonymous · Answer

can i just have the answer?

mathstudent55 · Answer

4/9 = x/54
9x = 4 x 54
9x = 4 x 9 x 6
divide both sides by 9
x = 4 x 6
x = 24

anonymous · Answer

THank you