Final answer:
To calculate the area of the park in real life, we must first convert the scale drawing measurements to miles and then to square feet, resulting in an area of 83,635,200 square feet.
Step-by-step explanation:
The concept under question involves the calculation of area on a scale drawing and then converting that calculated area into a different unit of measurement. In this case, a park is represented on a scale drawing where 0.5 inches on the drawing is equal to 1 mile in real life. The park on the scale drawing measures 0.5 inches by 1.5 inches.
Steps to Calculate the Real Area of the Park
- Calculate the area of the park on the scale drawing in square inches by multiplying its length and width:
0.5 inches × 1.5 inches = 0.75 square inches. - Convert the dimensions of the park from inches to miles using the provided scale. Since 0.5 inches equals 1 mile, 1 inch on the scale drawing equals 2 miles. Therefore, the real-life dimensions of the park are 1 mile by 3 miles.
- Calculate the area in square miles: 1 mile × 3 miles = 3 square miles.
- Convert the area from square miles to square feet. Knowing that 1 square mile equals 27,878,400 square feet, multiply the area by this conversion factor: 3 square miles × 27,878,400 square feet/square mile = 83,635,200 square feet.
Therefore, the real area of the park is 83,635,200 square feet.