SOLUTION: I need help solving this problem please! An aquarium has a volume of 1320 in. cubed. The aquarium has a height of 20 in. and a length of 5 more in. than the base. Find the leng

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need help solving this problem please! An aquarium has a volume of 1320 in. cubed. The aquarium has a height of 20 in. and a length of 5 more in. than the base. Find the leng      Log On


   

Question 497614: I need help solving this problem please!
An aquarium has a volume of 1320 in. cubed. The aquarium has a height of 20 in. and a length of 5 more in. than the base. Find the length and base of the aquarium.
Thank you(:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Divide 1320 by the given height. That will give you the area of the base. You misused "base" since that would refer to the entire rectangle that has a length and a width. I'm going to presume that you meant length is 5 inches longer than the width.

Let represent the width. Then represents the length. And let represent the area you calculated in the first step. Then:



Simplify and solve the resulting quadratic for , then calculate .

Hint: The quadratic is factorable: -6 times 11 is -66.

John

My calculator said it, I believe it, that settles it
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