Question

Jon is hanging a picture. He wants to center it horizontally on the wall. The picture is 32 1/2 inches long, and the wall is 120 3/4 inches long. How far from each edge of the wall should he place the picture? Please answer quickly.

Answer 1

Answer:

44.125 inches

Step-by-step explanation:

Given that:

Length of picture = 32 1/2 inches

Length of wall = 120 3/4 inches

Hence, to center picture horizontally ;

Distance from the edge of the wall in which the picture should be placed :

(Length of wall - length of picture) / 2

(120 3/4 - 32 1/2) / 2

(483/4 - 65/2) / 2

Take the L. C. M of 4 and 2 = 4

((483 - 130) / 4) ÷ 2

(353 / 4) ÷ 2

(353 / 4) * (1 / 2)

= 353 / 8

= 44 1/8

= 44 1/8

= 44.125 inches

Answer 2

The space that will be left in each side of the picture from the edge of the wall if Jon is to hang the picture at the center of the wall horizontally is: 44.125 inches.

The wall that Jon wants to hang the picture has been sketched in the diagram attached below (see attachment).

Given the following:

• Length of the wall = 120 3/4 inches = 120.75 inches

• Length of the picture = 32 1/2 inches = 32.5 inches

• The space in each edge of the wall = x

• Total length of space to be left = x + x = 2x

Therefore, the following equation can be derived as follows:

$2x + 32.5 = 120.75$

• Solve for x

$2x = 120.75 - 32.5 \\\\2x = 88.25\\\\x = \frac{88.25}{2} \\\\\mathbf{x = 44.125 inches}$

Therefore, the space that will be left in each side of the picture from the edge of the wall if Jon is to hang the picture at the center of the wall horizontally is: 44.125 inches.

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