Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m^2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?

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Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m^2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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(12 + x)(14 + x) = 255 x^2 + 26x + 168 = 255 x^2 + 26x - 87 = 0 (x + 29)(x - 3) x = -29, 3 x = 3 (increased by) so new dimensions is 15, 17 length is 17 m

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