You have 130 feet of fencing to build a rectangular sheep pen. What is the area of the largest pen you can build?
To build the largest rectangular pen with 130 feet of fencing, you must create a square pen. The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side. Since you have 130 feet of fencing, you can set up the equation:
130 = 4s
Solving for s:
s = 32.5 feet
The length of one side of the square pen is 32.5 feet. To find the area of the square pen, use the formula A = s², where A is the area and s is the length of one side:
A = 32.5² = 1056.25 square feet
Therefore, the area of the largest rectangular pen you can build with 130 feet of fencing is 1056.25 square feet.
Related Questions:
- What is the perimeter of the largest pen you can build with 130 feet of fencing?
- 130 feet
- What is the length of one side of the largest square pen you can build with 130 feet of fencing?
- 32.5 feet
- What is the area of a rectangle with a length of 20 feet and a width of 15 feet?
- 300 square feet
- What is the perimeter of a square with an area of 144 square feet?
- 48 feet
- What is the length of one side of a square with a perimeter of 60 feet?
- 15 feet
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