SOLUTION: 8. The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula � area o

Question 173320: 8. The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula � area of a triangle = 0.5(base)(height).
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let the base be , then the height is

Since the area is given by , you can just substitute:

Distribute, collect like terms, and put the equation into standard form for a quadratic:

Solve this by factoring, recognizing that and .

One of your roots will be a negative value. Exclude that root because it is extraneous introduced by the act of squaring the variable. The other root will be the length of the base.
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