Question

A town's chamber of commerce printed a map of the buisiness district. The map is 12 inches square, and 1 inch on the map represents an actual distance of 300 feet. On the map, a parking lot for one business is represented by a square with side length 0.25 inches. What is the actual area. In square feet, if the parking lot?

Answer 1

Answer:

$\boxed{\text{5625 ft}^{2}}}$

Explanation:

On the map, 300 ft = 1 in

So, for the parking lot

$\text{0.25 in} = \text{0.25 in} \times \dfrac{\text{300 ft}}{\text{1 in}} = \text{75 ft}$

The formula for the area of a square is

A = l², where l is the length of a side.

A = (75 ft)² = 5625 ft²

$\text{The area of the parking lot is }\boxed{\textbf{5625 ft}^{2}}}$