Question

You are remodeling your house. The ratio of measurements from a scale drawing to the actual floor is 1 inch : 5 ft. The floor on the scale drawing is 4 inches by 3 inches.

You need baseboards. What is the perimeter of the actual floor?

A) 26 ft
B) 28 ft
C) 30 ft
D) 32 ft

Answer 1

Using the scale factor of 1 inch:5 feet, the actual floor dimensions are 20 feet by 15 feet. The perimeter is thus calculated to be 70 feet.

Step-by-step explanation:

To determine the perimeter of the actual floor, we need to use the scale factor from the scale drawing to the actual measurements.

The given scale is 1 inch : 5 ft, which means each inch on the drawing represents 5 feet in reality. The floor on the scale drawing measures 4 inches by 3 inches. To find the actual length and width, we multiply the drawing dimensions by the scale factor.

• Actual length = 4 inches × 5 feet/inch = 20 feet
• Actual width = 3 inches × 5 feet/inch = 15 feet

Now, we can calculate the perimeter:

Perimeter = 2 × (Actual length + Actual width)

Perimeter = 2 × (20 feet + 15 feet)

Perimeter = 2 × 35 feet

Perimeter = 70 feet

Therefore, the perimeter of the actual floor is 70 feet.