MATH SOLVE

4 months ago

Q:
# I KNOW IT'S LATE, BUT PLEASE HELP.Sam is building an enclosure with recycled cardboard for his collection of model cars. His design is as shown below:What is the length of side A F in inches?a. 12b. 24c. 30d. 42

Accepted Solution

A:

Answer: c. 30Step-by-step explanation:Given : Sam is building an enclosure with recycled cardboard for his collection of model cars.So Sam's Design should be similar to Sam's project.Since the similar shapes have the same side(Corresponding) ratio. SideCD is corresponding to Side ML. and SideAF is corresponding to Side JH.Let SideAF be x.Using values of JH= 5 in, ML = 6 in. and CD = 36 in , we have the following side ratio.[tex]\dfrac{x}{5}=\dfrac{36}{6}[/tex][tex]\dfrac{x}{5}=6[/tex][tex]x=6\times5=30[/tex]Therefore the length of the side= 30 inches