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.

1 answer

In similar rectangles, the corresponding sides are proportional. Therefore, we can set up the following proportion:

CD / BC = FG / GH

Plugging in the given values, we get:

36 / 12 = s / 9

Simplifying the left side of the equation, we have:

3 = s / 9

To solve for s, we can cross multiply:

3 * 9 = s

27 = s

Therefore, the value of s is 27 meters.