Question

quadrilateral abcd is similar to quadrilateral efgh. find the measure of side fg. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let's assume side AB corresponds to side EF, side BC corresponds to side FG, side CD corresponds to side GH, and side DA corresponds to side HE. We know that $\frac{BC}{FG}=\frac{AD}{EH}$. Let $FG = x$. We have $\frac{28}{x}=\frac{55}{27}$.

Step2: Cross - multiply

Cross - multiplying gives us $55x=28\times27$.

Step3: Calculate the right - hand side

$28\times27 = 756$. So, $55x = 756$.

Step4: Solve for x

$x=\frac{756}{55}\approx13.7$.

Answer:

$13.7$