SOLUTION: The area of a trangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than it base. Use an equation and the formula: area of a tr

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Question 155253: The area of a trangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than it base. Use an equation and the formula: area of a triangle= 0.5(base)(height)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
H=B+6
A=BH/2
13.5=B(B+6)/2
13.5=(B^2+6B)/2
2*13.5=B^2+6B
B^2+6B-27=0
(B+9)(B-3)=0
B-3=0
B=3 FOR THE BASE
3+6=9 FOR THE HEIGHT.
PROOF:
13.5=(3*9)/2
13.5=27/2
13.5=13.5