Final answer:
To find the area of the park, convert the dimensions from the scale drawing to real-world measurements. Multiply the dimensions by the scale factor to get the actual dimensions. Then, convert the miles to feet and multiply the length and width to find the area in square feet.
Step-by-step explanation:
To find the area of the park, we need to convert the dimensions from the scale drawing to real-world measurements. Since the scale of the map is 0.5 inches = 1 mile, we can use this ratio to convert the dimensions of the park on the map to the actual dimensions. The park measures 0.5 inch by 1.5 inches on the map, so we multiply these dimensions by the scale factor: 0.5 inch * (1 mile / 0.5 inches) = 1 mile for the width, and 1.5 inches * (1 mile / 0.5 inches) = 3 miles for the length.
Now, to find the area of the park in square feet, we need to convert the length and width from miles to feet. There are 5280 feet in a mile, so the width of the park is 1 mile * 5280 feet/mile = 5280 feet, and the length of the park is 3 miles * 5280 feet/mile = 15840 feet.
The area of a rectangle is found by multiplying the length and width, so we can multiply 5280 feet * 15840 feet to find the area of the park in square feet. The value is 83,539,200 square feet.