The perimeter of a square piece of land is twice the perimeter of an equilateral triangle. (an equilateral triangle has three equal sides.) If one side of the square is 45 feet, find the length of the sides of the triangle.
2x + 3 = 45
2 x + 3 -3 = 45 + 2x
2x + 45
___ __ = x
2 2
x +22= x
x = 22
Not quite sure what you're doing there.
If a side of the square is 45, its perimeter is 180.
Thus, the perimeter of the triangle is 90.
So, each side of the triangle must be 30.
To solve this problem, follow these steps:
1. Understand the problem: We have a square piece of land with a perimeter that is twice the perimeter of an equilateral triangle. The side length of the square is given as 45 feet. We need to find the length of the sides of the equilateral triangle.
2. Calculate the perimeter of the square: The perimeter of a square is the sum of all its sides. Since we know that one side of the square is 45 feet, the perimeter of the square is 4 times the side length, which is 4 * 45 = 180 feet.
3. Set up the equation: Let's assume that the side length of the equilateral triangle is x feet. The perimeter of an equilateral triangle is simply 3 times the side length, so the perimeter of the equilateral triangle can be written as 3x.
4. Use the given information: We are given that the perimeter of the square is twice the perimeter of the equilateral triangle, so we can set up the equation as 2 * (3x) = 180.
5. Solve for x: Distribute the 2 to 3x: 6x = 180. Then divide both sides of the equation by 6 to isolate x: x = 30.
6. Answer: The length of each side of the equilateral triangle is 30 feet.