Question

problem 3
a scale drawing of a rectangular parking lot is 6 inches long and 5 inches wide. the actual parking 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

Set up a proportion. Let the scale factor be $x$. We have $\frac{6}{240}=\frac{1}{x}$, so $x = 40$ (since $6x=240$).

Step2: Find the actual width

The scale - drawing width is 5 inches. Multiply by the scale factor. The actual width $w=5\times40 = 200$ feet.

Step3: Calculate the area of the actual parking lot

The area formula for a rectangle is $A = l\times w$. Here, $l = 240$ feet and $w = 200$ feet. So $A=240\times200=48000$ square feet.

Answer:

A. 48,000