Question

1. the two trapezoids below are similar. what is the length of rs? a 1.4 m b 2.3 m c 7 m

Explanation:

Step1: Identify corresponding sides

Since the trapezoids are similar, the ratios of corresponding sides are equal. Let $AD$ correspond to $QT$ and $BC$ correspond to $RS$.

Step2: Set up proportion

The proportion is $\frac{AD}{QT}=\frac{BC}{RS}$. Substitute $AD = 1.4$m, $QT=7$m, and $BC = 2.3$m into the proportion: $\frac{1.4}{7}=\frac{2.3}{RS}$.

Step3: Cross - multiply

Cross - multiplying gives $1.4\times RS=2.3\times7$.

Step4: Solve for $RS$

First, calculate $2.3\times7 = 16.1$. Then $RS=\frac{16.1}{1.4}=11.5$m.

Answer:

$11.5$m