An art galler display a large painting in the center of a wall that is 24 ft wide. The painting is 10ft wide. Which of the following equations can be used to find the distance, x, in feet, from either end of the wall to the corresponding edge of the painting?
A l x-10 l = 12
B 2l x-12 l = 10
C 2l x-10 l = 12
D l x-12 l = 10
The painting is in the center of the wall, so the distance between the end of the wall and the corresponding edge of the painting is the same on both sides.
The distance between the end of the wall and the corresponding edge of the painting is x ft.
The wall is 24 ft wide, and the painting is 10 ft wide.
So it kinda looks like this:
Here is how I'd find x :
x + 10 + x = 24
2x + 10 = 24
2x = 14
x = 7
The only option that x = 7 is a solution to is B .