Question

trapezoid abcd is similar to trapezoid efgh. what is the value of s? 16 m 4 m 8 m a 32 m b 3.2 m c 8 m d 0.8 m

Explanation:

Step1: Set up proportion

For similar trapezoids, the ratios of corresponding sides are equal. Let's assume the side of length 16 m in trapezoid ABCD corresponds to the side of length s in trapezoid EFGH, and the side of length 4 m in trapezoid ABCD corresponds to the side of length 8 m in trapezoid EFGH. So we have the proportion $\frac{16}{s}=\frac{4}{8}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{16}{s}=\frac{4}{8}$ gives us $4s = 16\times8$.

Step3: Solve for s

First, calculate $16\times8 = 128$. Then, we have the equation $4s=128$. Divide both sides of the equation by 4: $s=\frac{128}{4}=32$.

Answer:

A. 32 m