SOLUTION: an aquarium holding african cichlids is 2 inches higher than it is wide. its length is 25 inches, and its volume is 9000 cubic inches. What are the height and width of the aquarium

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Question 1150273: an aquarium holding african cichlids is 2 inches higher than it is wide. its length is 25 inches, and its volume is 9000 cubic inches. What are the height and width of the aquarium?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the width in inches
+x+%2B+2+ = the height in inches
+25+ inches = the length
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+x%2A%28+x+%2B+2+%29%2A25+=+9000+ in3
+%28+x%5E2+%2B+2x+%29%2A25+=+9000+
+25x%5E2+%2B+50x+-+9000+=+0+
+x%5E2+%2B+2x+-+360+=+0+
+%28+x+%2B+20+%29%2A%28+x+-+18+%29+=+0+
+x+=+-20+
+x+=+18+ ( can't use the negative result )
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Width = 18 in
Height = 20 in
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check answer:
+x%2A%28+x+%2B+2+%29%2A25+=+9000+ in3
+18%2A20%2A25+=+9000+
+9000+=+9000+
OK

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
an aquarium holding african cichlids is 2 inches higher than it is wide. its length is 25 inches, and its volume is 9000 cubic inches. What are the height and width of the aquarium?
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Vol = L*W*H = 9000
L = 25
H = W + 2
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25*W*(W+2) = 9000
W*(W + 2) = 360
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Find a pair of factors of 360 that differ by 2