SOLUTION: A rectangular garden measures 3 m by 10 m. The length and width are both increased by the same amount. The area of the new garden is double the area of the old garden. Find the len

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Question 923625: A rectangular garden measures 3 m by 10 m. The length and width are both increased by the same amount. The area of the new garden is double the area of the old garden. Find the length and width of the garden




Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Garden measures m by n. The length and width increase by k; the area is now double the original area. Find k.

Area original, mn.
New area %28m%2Bk%29%28n%2Bk%29.
New is double of old.
highlight%28%28m%2Bk%29%28n%2Bk%29=2mn%29
That will be a quadratic equation in k. Solve for k.