Question

solving scale problems using proportions
consider the enlargement of the pentagon.
what is the value of x, rounded to the nearest tenth?
15.0 centimeters
2.1 centimeters
7.0 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: \(15x = 7\times7\), then \(15x=49\), and \(x=\frac{49}{15}\approx3.3\).

Answer:

\(3.3\) centimeters