SOLUTION: Base of a Triangle is 3feet more than 3 times its height. If the area is 30feet, find the height and base of the triangle. I''m trying to understand this question but don't get the

Question 470809: Base of a Triangle is 3feet more than 3 times its height. If the area is 30feet, find the height and base of the triangle. I''m trying to understand this question but don't get the formulas, and the 3time its height part is really confusing me. please help.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
height = x
base = 3x+3
Area = 30 ft^2
Area of triangle = 1/2 * base * height
30=1/2 *x*(3x+3)
multiply by 2
60= 3x^2+3x
3x^2 +3x-60=0
/3
x^2+x-20=0
x^2+5x-4x-20
x(x+4)-4(x+5)=0
(x+5)(x-4)=0
x=4 OR -5 ignore negative value
height = 4 feet
base = 4*3+3=15 feet

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