A square with side length 3/4 mile covers how many acres?

A square with side length 3/4 mile covers how many acres?

• A. 180 acres
• B. 360 acres
• C. 240 acres
• D. 480 acres

Answer: (B)

The main idea is converting area from square miles to acres. A square with side length 3/4 mile has area equal to (3/4)^2 square miles, which is 9/16 of a square mile. Since 1 square mile equals 640 acres, multiply 9/16 by 640: 9/16 × 640 = (640/16) × 9 = 40 × 9 = 360. So the square covers 360 acres. If you see other numbers, they’d come from miscalculating the area or the conversion (for example, not squaring the side length or using the wrong factor for acres per square mile).

The main idea is converting area from square miles to acres. A square with side length 3/4 mile has area equal to (3/4)^2 square miles, which is 9/16 of a square mile. Since 1 square mile equals 640 acres, multiply 9/16 by 640: 9/16 × 640 = (640/16) × 9 = 40 × 9 = 360. So the square covers 360 acres. If you see other numbers, they’d come from miscalculating the area or the conversion (for example, not squaring the side length or using the wrong factor for acres per square mile).