SOLUTION: A house has two rooms of equal area. One room is square and the other room is a rectangle 4 feet narrower and 5 feet longer than the square one. Find the area of each room.

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Question 16727: A house has two rooms of equal area. One room is square and the other room is a rectangle 4 feet narrower and 5 feet longer than the square one. Find the area of each room.
Answer by pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
let one side of square = x.
This gives the equation:
X%5E2=%28x-4%29%28x%2B5%29 expand brackets
x%5E2=x%5E2%2Bx-20 transfer x terms to same side to give
x%5E2-x%5E2-x=-20
-x=-20 multiply both sides by -1
x=20
Pete