Question

1. the two figure are similar. find the value of x.

a. 36
b. 8
c. 15
d. 22

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. So, \(\frac{15}{12}=\frac{x}{5}\).

Step2: Cross - multiply

Cross - multiplying gives \(15\times5 = 12x\), which simplifies to \(75=12x\).

Step3: Solve for \(x\)

Divide both sides by 12: \(x=\frac{75}{12}=\frac{25}{4} = 6.25\) (Wait, there is a mistake. Let's check the ratio again. The correct ratio should be \(\frac{x}{12}=\frac{15}{5}\))

Step1: Correct proportion

For similar rectangles, \(\frac{x}{12}=\frac{15}{5}\)

Step2: Cross - multiply

Cross - multiplying: \(5x=12\times15\)

Step3: Solve for \(x\)

\(5x = 180\), then \(x=\frac{180}{5}=36\)

Answer:

A. 36