MATH SOLVE

3 months ago

Q:
# The ratio of the perimeters of two rectangles is 5 to 8 . the perimeter of the larger rectangle is 72 inches. What is the perimeter of the smallest triangle?

Accepted Solution

A:

ANSWER45 inches.EXPLANATIONLet the perimeter of the smaller rectangle be x.Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is[tex]x:72=5:8[/tex]We change the ratio to fraction to obtain,[tex] \frac{x}{72} = \frac{5}{8} [/tex]Multiply both sides by 72.[tex]x = \frac{5}{8} \times 72[/tex][tex]x = 5 \times 9 = 45[/tex]The perimeter of the smaller rectangle is 45 inches.