On a map, 1 inch represents 5 miles. If a certain state is represented on a map by a rectangle 10 inches by 7.2 inches, what is the area of the state in square miles? A) \( 360 \mathrm{mi}^{2} \) B) \( 720 \mathrm{mi}^{2} \) C) \( 1,080 \mathrm{mi}^{2} \) D) \( 1,800 \mathrm{mi}^{2} \)

To find the area of the state in square miles, first calculate the area of the rectangle on the map in square inches. The area is: Area = length × width = 10 inches × 7.2 inches = 72 square inches. Since 1 inch on the map represents 5 miles, to convert square inches to square miles, you need to multiply the area by the square of the conversion factor (5 miles/inch)^2. So: Area in square miles = 72 square inches × (5 miles/inch)² = 72 × 25 = 1,800 square miles. The answer is D) \( 1,800 \mathrm{mi}^{2} \). --- Did you know that maps have been around since ancient times? The oldest known map dates back to Babylon around 600 BC! They initially served as guides for trade routes and later evolved into tools for conquest and exploration. Maps have become increasingly precise thanks to advancements in technology. For a smooth map reading experience, always remember to check the map’s scale carefully. It can be easy to misinterpret dimensions if you overlook it! A common mistake is assuming the entire area depicted is manageable without understanding the scale—always measure twice and estimate accurately to avoid a long detour in real life!