Man Rectangular
Find the length and breadth of the field so that the perimeter is minimum.?
A man has a rectangular field of 800 m2. A river is a side. The man wants to build a fence on three sides. Find the length and width of the field so that the perimeter is minimum.
L * W = 800 = L> = 800 / PW = L + 2W = 800 / PW + = 2W max => P '= 0 P' = -800 / 2 W ² = 0 => -800 / W ² = -2 => 800 / W ² = 2 => W ² / 800 = 2.1 = W ²> = 400 W => = 20 Width = 20 m, length = 40m, 80m Perimeter =
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