Answer:
The window must be placed at 32.375in from the wall
Explanation:
Given
Wall = 105¼ in
Window = 40½ in
Required
Determine the distance of the window from the wall
From the question, we understand that the window is to be placed at the centre of the wall.
This implies that the distance between the window and the wall at both ends must be the same.
Represent each of this distance with x.
So, the sum of the window length and the distance at both ends must equal to the length of the wall.
In other words,
x + x + 40½ = 105¼
2x + 40½ = 105¼
Convert to decimal
2x + 40.5 = 105.25
Collect like terms
2x = 105.25 - 40.5
2x = 64.75
Solve for x
x = 64.75/2
x = 32.375
Hence, the window must be placed at 32.375in from the wall
