SOLUTION: Shondra wants to enclose a rectangular garden with 320 yards of fencing. What dimensions for the garden will maximize its area?

Question 54312: Shondra wants to enclose a rectangular garden with 320 yards of fencing. What dimensions for the garden will maximize its area?
Answer by aaaaaaaa(138) (Show Source): You can put this solution on YOUR website!
The fencing is the perimeter of the rectangle, i.e. 2width+2length. We want to maximise it knowing that 2w+2l = 320.
There's a rule we can follow: the more apart the numbers are, the smaller their product is compared to closer numbers. In algebra, this is expressed as So, let's suppose w=l:

Therefore, to maximise the area, Shondra's garden should be a square: 80x80 yards.
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