Question

find the length and width of the actual room, shown in the scale drawing. then find the area of the actual room. round the final answer, if necessary, to the nearest tenth.
image of a rectangle with 8.5 in. (top), 6 in. (right), and 5 in. = 7 ft (bottom)
the length is about \boxed{} feet, the width is about \boxed{} feet, and the area is about \boxed{} square feet.

Explanation:

Step1: Find scale factor

Scale: $\frac{7\ \text{ft}}{5\ \text{in}} = 1.4\ \text{ft/in}$

Step2: Calculate actual length

Actual length: $8.5 \times 1.4 = 11.9\ \text{ft}$

Step3: Calculate actual width

Actual width: $6 \times 1.4 = 8.4\ \text{ft}$

Step4: Calculate actual area

Actual area: $11.9 \times 8.4 = 99.96 \approx 100.0\ \text{sq ft}$

Answer:

The length is about 11.9 feet, the width is about 8.4 feet, and the area is about 100.0 square feet.