Question

a scale drawing of a room is shown below. in the drawing, the room is (7\frac{1}{2}) inches long and 5 inches wide. what is the actual area of the room? (\frac{1}{2}) in. : 1 ft options: (37\frac{1}{2}) ft², 75 ft², 50 ft², 150 ft²

Explanation:

Step1: Find actual length

Scale: $\frac{1}{2}$ in. = 1 ft, so 1 in. = 2 ft.
Length in drawing: $7\frac{1}{2}$ in. = $\frac{15}{2}$ in.
Actual length: $\frac{15}{2} \times 2 = 15$ ft.

Step2: Find actual width

Width in drawing: 5 in.
Actual width: $5 \times 2 = 10$ ft.

Step3: Calculate area

Area = length × width = $15 \times 10 = 150$ $ft^2$.

Answer:

$150\ ft^2$ (corresponding to the option "150 $ft^2$")