A developer buys a tract of land 0.5 mile long and 0.25 mile wide. Is this enough land to lay out a 75-acre golf course if there are 43,560 square feet in one acre?
0.5 * 5,280 = 2640 feet
0.25 * 5280 = 1320 feet
1320 * 2640 = 3,484,800 square feet
3,484,800/75 = ?
To determine if the developer has enough land to lay out a 75-acre golf course, we need to first find the total area of the land they purchased.
The dimensions provided are 0.5 miles long and 0.25 miles wide. To calculate the area in square miles, we multiply these dimensions:
Area = Length x Width
Area = 0.5 miles x 0.25 miles
Next, we need to convert the area from square miles to square feet. Since 1 mile is equal to 5,280 feet, we can use this conversion factor:
1 square mile = 5,280 feet x 5,280 feet = 27,878,400 square feet
Now, we can calculate the area of the land in square feet:
Area (in square feet) = Area (in square miles) x 27,878,400 square feet
Finally, we divide the total area in square feet by the number of square feet in one acre (43,560 square feet) to determine the number of acres:
Number of Acres = Area (in square feet) / 43,560 square feet
If the resulting number is greater than or equal to 75, then the developer has enough land for a 75-acre golf course. Otherwise, they do not.
Let's calculate:
Area = 0.5 miles x 0.25 miles = 0.125 square miles
Area (in square feet) = 0.125 square miles x 27,878,400 square feet/square mile
Number of Acres = Area (in square feet) / 43,560 square feet
Now, plug in the values and calculate:
Area (in square feet) = 0.125 square miles x 27,878,400 square feet/square mile = 3,484,800 square feet
Number of Acres = 3,484,800 square feet / 43,560 square feet = 80 acres
Since the resulting number is 80 acres, which is greater than 75 acres, the developer has enough land to lay out a 75-acre golf course.