Question
The two rectangles above are similar. If a = 6 in, b = 11 in, and d = 22 in, what is the length of c?
A.
30 in
B.
10 in
C.
14 in
D.
12 in
A.
30 in
B.
10 in
C.
14 in
D.
12 in
Answers
GPT-4
In similar rectangles, the ratio of their corresponding sides are equal, so a/d = b/c. Substituting the known values, we get 6/22 = 11/c. Cross-multiplying gives 6c = 242, which simplifies to c = 242/6 = 40.33. However, this value is not listed in the answer choices, so it seems there was a mistake in the problem's setup. As it stands, none of the answer choices is correct.