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If a rectangular barn is 630 sq ft and the Length is 9 ft longer than width what is length and width?
If you assign the value N for width, the length would be N + 9. The area would then be:
N(N + 9) = 630.
This would be:
N2 + 9N - 630 = 0.
This can be factored into:
(N + 30)(N - 21) = 0, and since you can't have negative feet, that leaves you with N = 21.
Thus, the width is 21 and the length is 30.
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