Question

if these two shapes are similar, what is the measure of the missing length b?
11 m
77 m

b
42 m

b = \square meters
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Explanation:

Step1: Set up proportion for similar shapes

Since the two shapes are similar, their corresponding sides are proportional. So we have the proportion $\frac{11}{77} = \frac{b}{42}$.

Step2: Simplify the left - hand side

Simplify $\frac{11}{77}$, we get $\frac{1}{7}$. So the equation becomes $\frac{1}{7}=\frac{b}{42}$.

Step3: Solve for b

Cross - multiply: $7b = 42\times1$. Then divide both sides by 7: $b=\frac{42}{7}=6$.

Answer:

6