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An interior decorator is buying wallpaper for two square walls. One wall
is 3 feet wider than the other. If he needs 89 square feet of wallpaper,
what are the dimensions of the wall?
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x^2 + (x+3)^2 = 89
x^2 + (x^2 + 6x + 9) = 89
2x^2 + 6x - 80 = 0
x^2 + 3x - 40 = 0
(x+8)*(x-5) = 0
Of the two roots, -8 and 5, only positive root x= 5 is the solution.
Answer. One wall is 5 ft square; the other wall is 8 ft square.
Solved.
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The question in the post is posed out of the English standard rules and out the human logic - which just becomes a TRADITION at this forum.