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Perimeter

The perimeter...

Question

The perimeter of a rectangle is 16cm .what will be the length and breadth of that rectangle(in whole numbers)for-
a) Maximum area
b) minimum area?

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Solution

Perimeter of Rectangle = 2(l+b) = 16cm => l + b = 8 cm
(a)Area is maximum when l=b
==> 2x2l =16
l=b= 4cm
Area = l x b = 4x4 = 16cm²

(b) Area is mimnum when l = 7 and b -1
==> l x b = 7 x 1 = 7cm²

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