The perimeter of a square garden is 204 feet. How long is each side?
Answer (1)
Let s be the length of each side of the square garden.
The perimeter of a square is P = 4 s .
Substitute the given perimeter P = 204 into the formula: 204 = 4 s .
Solve for s : s = 4 204 = 51 .
The length of each side is 51 f ee t .
Explanation
Problem Analysis We are given that the perimeter of a square garden is 204 feet. We need to find the length of each side of the square garden.
Perimeter Formula Let s be the length of each side of the square garden. The perimeter of a square is given by the formula: P = 4 s where P is the perimeter and s is the side length.
Substitute the perimeter We are given that the perimeter P = 204 feet. Substitute this value into the formula: 204 = 4 s
Solve for side length To find the side length s , divide both sides of the equation by 4: s = 4 204 s = 51
Final Answer Therefore, each side of the square garden is 51 feet long. So, the final answer is: 51 f ee t
Examples
Imagine you're designing a garden and want to build a square fence around it. If you know you have 204 feet of fencing material, you can use this calculation to determine that each side of your square garden should be 51 feet long. This ensures you use all your fencing material and create a perfectly square garden.
