Question

An art gallery displays a large painting in the center of a wall that is 24 feet ( ft wide. The painting is 10ft wide. Which of the following equations can be used to find the distances, x, in feet, from the left end of the wall to the edges of the painting?

Answer 1

the complete question in the attached figure

step 1

Find the distance of the center of the wall from the left end of the wall

distance=(1/2)*24--------> 12 ft

so

If x is the distance from a painting edge to its corresponding end of the wall, then

|x-12| is the distance from the painting edge to the center of the wall

and

If the painting is centered, then 2|x-12| represents the width of the painting

Since the painting is 10 ft wide,

we have 2|x-12|=10

therefore

the answer is the option B

2|x-12|=10