Question 902467

A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 1875 ft2.
length (larger dimension)    		  
width (smaller dimension)
<pre>
With length and width being L, and W, respectively, and perimeter being 200, we get:
2L + 2W = 200____2(L + W) = 2(100)_____L + W = 100_____W = 100- L ----- eq (i)
Since area = 1,875, then L(100 - L) = 1,875
{{{100L - L^2 = 1875}}}
{{{L^2 - 100L + 1875 = 0}}}
Solve for L, the length of the garden. The negative value should be ignored. Then find W, or width. 
Then do a check!! 

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