SOLUTION: the area of rectangular garden should be at least 250 square meters. If its length is 5 meters more than twice its width, find the range of the possible values for the lot's length

Question 1196634: the area of rectangular garden should be at least 250 square meters. If its length is 5 meters more than twice its width, find the range of the possible values for the lot's length and width.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Since the area is to be AT LEAST 250 square meters, you want to find the length and width for which the area is EXACTLY 250 square meters; then any larger length and width will satisfy the conditions of the problem.

The problem can be solved quickly by trial and error; 10*250 = 250, and 25 is 5 more than twice 10. So the minimum width and length are 10 and 25 meters.

For a formal algebraic solution....

x = width
2x+5 = length

or

Obviously the negative solution makes no sense in the actual problem, so the solution is x = 10.

ANSWER: The width can be anything equal to or greater than 10 meters.

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