The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window?
A. 60 inches
B. 40 inches
C. 20 inches
D. 15 inches
Answer (1)
The perimeter of the square window is 80 inches.
The formula for the perimeter of a square is P = 4 s , where s is the side length.
Substitute the given perimeter into the formula: 80 = 4 s .
Solve for s : s = 4 80 = 20 . The length of each side of the window is 20 inches.
Explanation
Problem Analysis We are given that the perimeter of a square window is 80 inches. We need to find the length of each side of the window.
Formula for Perimeter of a Square Let s be the length of each side of the square window. 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 Given Perimeter We are given that the perimeter P = 80 inches. Substitute this value into the formula: 80 = 4 s
Solve for Side Length To find the side length s , we need to solve the equation for s . Divide both sides of the equation by 4: s = 4 80 s = 20
Final Answer Therefore, the length of each side of the square window is 20 inches.
Examples
Imagine you're building a square picture frame and you have 80 inches of wood to use for the perimeter. To make sure the frame is a perfect square, you need to know how long each side should be. By calculating the side length using the perimeter formula for a square, you can determine that each side should be 20 inches long, ensuring your picture frame is perfectly square and uses all the available wood.
