Question

learn with an example if these two shapes are similar, what is the measure of the missing length w? 12 ft 4 ft w 1 ft w = \boxed{} feet submit work it out can help:

Explanation:

Step1: Recall similar shapes property

For similar shapes, corresponding sides are proportional. So, $\frac{\text{Large top side}}{\text{Large side}} = \frac{\text{Small top side}}{\text{Small side}}$.

Step2: Plug in values

Large top side = 12 ft, Large side = 4 ft, Small side = 1 ft, Small top side = \( w \). So, $\frac{12}{4} = \frac{w}{1}$.

Step3: Solve for \( w \)

Simplify $\frac{12}{4}=3$, so \( 3 = \frac{w}{1} \), thus \( w = 3 \times 1 = 3 \).

Answer:

3