Question

the two figures represent the scale drawing of a window and the actual window. if the actual base of the window is 5 ft, what is the height of the actual window? 1.625 ft 2 ft 3.85 ft 6.5 ft

Explanation:

Step1: Set up proportion

Since the scale - drawing and the actual window are similar figures, the ratios of their corresponding sides are equal. Let the height of the actual window be $h$. The ratio of the base of the scale - drawing to the base of the actual window is equal to the ratio of the height of the scale - drawing to the height of the actual window. The proportion is $\frac{2.5}{5}=\frac{3.25}{h}$.

Step2: Cross - multiply

Cross - multiplying the proportion $2.5h = 3.25\times5$.

Step3: Solve for $h$

First, calculate $3.25\times5 = 16.25$. Then, $h=\frac{16.25}{2.5}=6.5$.

Answer:

$6.5$ ft