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
To find the value of s, since triangle ABC is similar to triangle EFG, we can set up a proportion using the corresponding side lengths:
CD / BC = FG / GH
Substituting in the given values:
36 / 12 = s / 9
Simplifying the proportion:
3 = s / 9
To solve for s, we can multiply both sides of the equation by 9:
9 * 3 = s
27 = s
Therefore, the value of s is 27.
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.
To find the value of "s", we can use the concept of similar rectangles. Similar rectangles are two rectangles that have the same shape but possibly different sizes.
In this case, rectangle ABCD is similar to rectangle EFGH. This means that the corresponding sides of the two rectangles are proportional.
To find the value of "s", we can set up a proportion between the corresponding sides of the two rectangles:
CD / FG = BC / GH
Substituting the given values, we have:
36 / s = 12 / 9
To solve for "s", we can cross-multiply and then solve for "s":
36 * 9 = 12 * s
324 = 12s
Divide both sides of the equation by 12:
324 / 12 = s
27 = s
Therefore, the value of "s" is 27 meters.