Question

consider the enlargement of the pentagon.
what is the value of x, rounded to the nearest tenth?
7.0 centimeters
15.0 centimeters
2.1 centimeters
3.3 centimeters

Explanation:

Step1: Set up proportion

Since the pentagons are similar, the ratios of corresponding sides are equal. So, \(\frac{x}{7}=\frac{7}{15}\).

Step2: Solve for \(x\)

Cross - multiply: \(15x = 7\times7\), \(15x=49\), then \(x=\frac{49}{15}\approx3.3\).

Answer:

\(3.3\) centimeters