Hu is installing a new window in his bedroom wall. He wants to center it horizontally. The window is 40 1/2 inches long, and the wall is 105 1/4 inches long. How far from each edge of the wall should Hu install the window? Type the number only, as a decimal or fraction. *

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