Question

quadrilateral (abcd) is similar to quadrilateral (efgh). find (fg). round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. So, \(\frac{BC}{FG}=\frac{DC}{HG}\). Substituting the known values: \(\frac{4}{x}=\frac{9}{44}\).

Step2: Cross - multiply

Cross - multiplying gives \(9x = 4\times44\).

Step3: Solve for \(x\)

First, calculate \(4\times44 = 176\). Then, \(x=\frac{176}{9}\approx19.6\).

Answer:

$19.6$