McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
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Exercise 28 Page 533

Recall that in rectangles opposite sides are congruent.

60 in.

Practice makes perfect

We are given that the lines of a parking space are parallel, so the distance between the lines is constant. Notice that this distance, the width of the parking space, is always perpendicular to the lines. Therefore, the lines and the width of a parking space create a rectangle.

Since opposite sides in rectangles are congruent we can set the given expressions equal to each other and solve for x.
5x+20=6x+12
20=x+12
8=x
x=8
Now, we can find the width of the parking space by substituting x=8 in either 5x+20 or 6x+12. Let's use the first expression.
5x+20
5( 8)+20
40+20
60
The width of this parking space is 60 inches.