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
Pick the answer below.
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.
To find the value of s, we can set up a proportion between the corresponding sides of the two rectangles:
CD / BC = FG / GH
Substituting the given values:
36 / 12 = s / 9
Rearranging the equation:
3 = s / 9
To solve for s, we can multiply both sides of the equation by 9:
9 * 3 = s
So, s = 27.
Therefore, the value of s is 27 meters.
To determine the value of s, we can set up a proportion using the corresponding sides of the two similar rectangles.
In this case, we can compare the lengths of the corresponding sides:
CD : BC = FG : GH
Plugging in the given values, we have:
36 : 12 = s : 9
To solve for s, we can cross-multiply and then divide:
36 * 9 = 12 * s
324 = 12s
s = 324 / 12
s = 27
Therefore, the value of s is 27 meters.
None of the provided answer choices (3 m, 48 m, 30 m, 4.8 m) match the calculated value of s.