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A farmer has to enclose a pasture for his cows. He has 1160 yards of fencing for the perimeter of the field. What are the dimensions of the largest square field he can enclose?



Answer :

Answer:

Method 1:

2l + 2w = 1,160

l + w = 580

A(l) = l(580 - l) = 580l - l²

A'(l) = 580 - 2l

580 - 2l = 0

2l = 580

l = 290

A(290) = 290(290) = 84,100 ft²

Method 2:

(1,160/4)² = 290² = 84,100 ft²

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