Question

1. a scale drawing of a rectangular parking lot is 6 inches long and 5 inches wide. the actual parking lot is 240 feet long. what is the area of the actual parking lot, in square feet? a. 48,000 b. 1,200 c. 200 d. 30

Explanation:

Step1: Find the scale factor

The scale - drawing length is 6 inches and the actual length is 240 feet. Since 1 foot = 12 inches, 240 feet = 240×12 = 2880 inches. The scale factor $k=\frac{2880}{6}=480$.

Step2: Find the actual width

The scale - drawing width is 5 inches. The actual width $w = 5\times480$ inches. Converting to feet, since 1 foot = 12 inches, the actual width $w=\frac{5\times480}{12}=200$ feet.

Step3: Calculate the actual area

The actual length $l = 240$ feet and the actual width $w = 200$ feet. The area of a rectangle $A=l\times w$. So $A = 240\times200=48000$ square feet.

Answer:

A. 48,000