Question

the figures below are similar the labeled sides are corresponding. what is the perimeter of the larger square?

Answer 1

32 inches

Step-by-step explanation:

Given;

Length of one side of figure 1 = 8 in

Length of the corresponding side in figure 2 = 6 in

The perimeter of figure 1 = ?

The perimeter of figure 2 = 24 in

Since both figures are similar, that is, corresponding sides are in equal proportions, we can go ahead and set up the below proportions to determine the perimeter of the larger square as seen below;

`\begin{gathered} (P_1)/(8)=(P_2)/(6) \\ (P_1)/(8)=\frac{_{}24}{6} \\ (P_1)/(8)=4 \\ P_1=8\cdot4 \\ P_1=32\text{ in} \end{gathered}`

So the perimeter of the larger square 32 inches