Question

if these two shapes are similar, what is the measure of the missing length c?
8 m
c
1 m
2 m
c = \boxed{} meters
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Explanation:

Step1: Identify the scale factor

For similar shapes, the ratios of corresponding sides are equal. The green parallelogram has sides 2 m and 1 m, and the orange one has a side 8 m (corresponding to the 2 m side of the green one) and side \( c \) (corresponding to the 1 m side of the green one). First, find the scale factor by dividing the length of the orange side by the corresponding green side: \( \text{Scale factor} = \frac{8}{2} = 4 \).

Step2: Calculate the missing length \( c \)

Multiply the corresponding side of the green parallelogram (1 m) by the scale factor (4) to get \( c \): \( c = 1 \times 4 = 4 \).

Answer:

4