SOLUTION: The volume of a rectangular box is 252 cu. units. The height is 4 units and the length is two more than the width of the box. What are the width and length of the box? Thank you

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Question 358031: The volume of a rectangular box is 252 cu. units. The height is 4 units and the length is two more than the width of the box. What are the width and length of the box?
Thank you so much for your assistance
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
H=4
L=W+2
V=LWH
252=(W+2)W*4
252=(W^2+2W)4
252=4W^2+8W
4W^2+8W-252=0
4(W^2+2W-63)=0
4(W+9)(W-7)=0
W-7=0
W=7 ANS. FOR THE WIDTH.
L=7+2=9 ANS. FOR THE LENGTH.
PROOF:
252=9*7*4
252=252