SOLUTION: the old lion cage at the zoo was a square, with sides x meters long. For part of the zoo's 50th b-day celebration, the zoo expanded the length and width of the cage. The expression

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the old lion cage at the zoo was a square, with sides x meters long. For part of the zoo's 50th b-day celebration, the zoo expanded the length and width of the cage. The expression      Log On

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Question 71906: the old lion cage at the zoo was a square, with sides x meters long. For part of the zoo's 50th b-day celebration, the zoo expanded the length and width of the cage. The expression for total area of the new cage is (x^2 + 18x + 81). square meters.
How much did the zoo expand the length and width of the cage?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let's say the increase to each side is a meters
Then the expression for the area is
%28x%2Ba%29%28x%2Ba%29+=+x%5E2+%2B+2ax+%2B+a%5E2
x%5E2+%2B+2ax+%2B+a%5E2+=+x%5E2+%2B+18x+%2B+81
from this you can see that
2a+=+18 and
a%5E2+=+81
a+=+9 satisfies both of these, so
the length and width was increased by 9 meters