Questions: Find the measure of x for the similar figures shown below. x= (Simplify your answer.)

Solution Steps

Since the figures are similar, the ratio of corresponding sides must be equal. We can set up a proportion using the given side lengths:

\\(\frac{200}{x} = \frac{250}{175}\\)

Cross-multiply:

\(200 * 175 = 250 * x\)

\(35000 = 250x\)

Divide both sides by 250:

\(x = \frac{35000}{250}\)

\(x = 140\)

Final Answer