Question

seventh grade > ★ ff.4 side lengths and angle measures of similar figures ja5 you have prizes to reveal!
if these two shapes are similar, what is the measure of the missing length b?
(image of two similar parallelograms: green one with sides 42 ft and 63 ft; purple one with side 28 ft and missing side b)

b = \boxed{} feet
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Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{28}{42} = \frac{2}{3}$

Step2: Set up proportion for $b$

$\frac{b}{63} = \frac{2}{3}$

Step3: Solve for $b$

$b = 63 \times \frac{2}{3}$

Answer:

42 feet