Question

Armani is hanging a picture. He wants to center it horizontally on the wall. The picture is 18 1/4 inches long, and the wall is 31 3/4 inches long. How far from the edge of the wall should he place the picture?

Answer 1

He should place the picture at 6.75 inches from the edge of the wall.

Step-by-step explanation

According to the below diagram, O is the center of the wall and AB is the distance of the picture from the edge of the wall.

As the length of the wall is
`31(3)/(4)` inches or 31.75 inches , so the half length of the wall
`(OB)`
`=(31.75)/(2)=15.875` inches.

Now, the length of the picture is
`18(1)/(4)` inches or 18.25 inches, so the half length of the picture
`(OA)`
`= (18.25)/(2)=9.125` inches.

Thus,
`AB= OB-OA= 15.875-9.125=6.75` inches

So, he should place the picture at 6.75 inches from the edge of the wall.