SOLUTION: the height of a triangle is 2 meters less than twice the length of the base. if the sail has an area of 30 square meters, find the length of its base and the height.

Question 1032004: the height of a triangle is 2 meters less than twice the length of the base. if the sail has an area of 30 square meters, find the length of its base and the height.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Area=1/2(bh)
b=x
height=2x-2, units meters
30=(1/2)bh
60=bh=x(2x-2)
2x^2-2x=60
2x^2-2x-60=0
x^2-x-30=0
(x-6)(x+5)=30
x=6 as only positive root.
2x-2=10
Their product is 60 m^2, half of which is 30 m^2
The base is 6 m; the height is 10 m.
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