SOLUTION: a triangular garden has an area or 45 square meters. its base is 3 meters longer than twice its height. how long is the base?�

Question 371209: a triangular garden has an area or 45 square meters. its base is 3 meters longer than twice its height. how long is the base?�
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let height of triangle be x
base = 2x+3
..
Area of triangle = 1/2 * base * height
1/2 * x*(2x+3) = 45
..
*2 *2
x(2x+3) = 90
2x^2+3x=90
2x^2+3x-90=0
2x^2+15x-12x-90=0
x(2x+15)-6(2x+15)=0
(2x+15)(x-6)=0
x = 6 m the height
base = 2x+3 = 2*6 +3 = 15m
...
m.ananth@hotmail.ca
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