SOLUTION: The base of a triangle is 12 inches more than 4 times the height. If the area is 36 inches, find the base and the height.

Question 129502This question is from textbook
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The base of a triangle is 12 inches more than 4 times the height. If the area is 36 inches, find the base and the height. This question is from textbook

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
LET H BE THE HEIGHT.
BASE=12+4H
AREA=BH/2
36=(12+4H)H/2
36=12H+4H^2/2
4H^2+12H=72
4H^2+12H-72=0
4(H^2+3H-18)=0
4(H+6)(H-3)=0
H-3=0
H=3 ANSWER FOR THE HEIGHT.
BASE=12+4*3
BASE=12+12=24 ANSWER FOR THE BASE.
36=24*3/2
36=72/2
36=36

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