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
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48 m
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30 m
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4.8 m
Pick the answer below.

1 answer

To determine the value of s, we can use the fact that the two rectangles are similar, meaning their corresponding sides are proportional.

The ratio of corresponding sides is given by:

s/9 = 36/12

Cross multiplying, we get:

12s = 9 * 36

Multiplying both sides by 1/12, we find:

s = 9 * 36 / 12

Simplifying this, we get:

s = 108 / 12

s = 9

Therefore, the value of s is 9 meters.