Question

Your father just purchased 4 windows that are each 3 foot wide. He wants a distance of 4 feet between each corner of the garage and the outer windows. If the windows are to be evenly spaced from one another and the total length of the garage is 26 feet, how far apart do you need to set each window from the other?

Answer 1

The distance between each of the four windows should be 2 feet to ensure they are evenly spaced along the 26-foot garage wall, taking into account the 4-foot spaces required at each end.

Step-by-step explanation:

The student is asking about spacing windows evenly on a garage wall that has a total length of 26 feet, where each window is 3 feet wide and there must be a 4-foot space between the garage corners and the outer windows. To calculate the distance between each window, we begin by accounting for the space used by the windows and the mandatory spaces next to the corners.

First, we calculate the total space occupied by the windows:

4 windows × 3 feet/window = 12 feet.

Then, we account for the space between the corners and outer windows:

2 × 4 feet = 8 feet.

Now, subtract the space taken by the windows and the corner spaces from the total length to find the space available for spacing between the windows:

26 feet - (12 feet + 8 feet) = 6 feet.

Since there are three gaps between the four windows, we divide the 6 feet of space by 3 to get the distance between each window:

6 feet ÷ 3 gaps = 2 feet.

Therefore, each window should be set 2 feet apart from one another to meet the conditions specified.