Question

Polygon C and polygon D are similar. The perimeter of polygon C is 192 inches, and the perimeter of polygon D is 48 inches. If one side of polygon C is 8 inches, what is the length of the corresponding side in polygon D?
A. 64 in
B. 2 in
C. 8 in
D. 24 in

Answer 1

Answer:

B. 2 in.

Step-by-step explanation:

First, put the two perimeters together to form a fraction.

192/48, which can simplify to 4/1

Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

$\frac{4}{1} = \frac{8}{x}$

Now, cross multiply. (multiply 1 and 8, 4 and x.)

$4x = 8$

Now, solve.

x=2 inches.