SOLUTION: A farmer has a rectangular garden plot surrounded by 120ft of fence. Find the length and width of the garden if its area is 800 square feet.

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Question 399521: A farmer has a rectangular garden plot surrounded by 120ft of fence. Find the length and width of the garden if its area is 800 square feet.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the width = ft
The length will be ft
Also,
ft
Multiply both sides by



I can solve by completing the square:


Both sides are perfect squares

Take the square root of both sides


There is a negative root also:


The length is 40 and the width is 20
check:

OK
ft2
OK

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