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

`\boxed{\text{5625 ft}^(2)}}`

Step-by-step explanation:

On the map, 300 ft = 1 in

So, for the parking lot

`\text{0.25 in} = \text{0.25 in} * \frac{\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)}}`