SOLUTION: the area of a rectangle is 216 cm2. the base is three more than three times the height. What is the perimeter?

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Question 313979: the area of a rectangle is 216 cm2. the base is three more than three times the height. What is the perimeter?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
B=3H+3
A=BH
216=(3H+3)H
216=3H^2+3H
3H^2+3H-216=0
3(H^2+H-72)=0
3(H+9)(X-8)=0
H-8=0
H=8 ANS. FOR THE HEIGHT.
B=3*8+3
B=24+3=27 ANS. FOR THE BASE.
PROOF:
216=8*27
216=216