Question

Rectangle ABCD is similar to rectangle EFGH. What is the value of s?

A diagram of two rectangles. For rectangle ABCD, side CD is 36 meters long, and side BC is 12 meters long. For rectangle EFGH, side FG is labeled s, and side GH is 9 meters long.

Responses

3 m
Pick the answer below.

48 m
Pick the answer below.

30 m
Pick the answer below.

4.8 m

Answer 1

The value of s can be found using the concept of similarity, which states that corresponding sides of similar triangles or rectangles are proportional.

In this case, we can set up a proportion using the sides CD and BC from rectangle ABCD and the sides FG and GH from rectangle EFGH. The proportion is:

CD/BC = FG/GH

Substituting the given values:

36/12 = s/9

Simplifying the equation:

3 = s/9

Cross-multiplying:

3 * 9 = s
27 = s

Therefore, the value of s is 27 meters.