# 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

Algebra ->  -> 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      Log On

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 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(18785)   (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.