Find the dimension of the rectangle whose perimeter is 38 m and area is maximum as compared to all the rectangles which can be drawn with the same perimeter.

l=10m, b=9m

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l=8.5m, b=10.5m

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l=12m, b=7m

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l=9.5m, b= 9.5m

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Solution

The correct option is D
l=9.5m, b= 9.5m

The rectangle should be a square only then it will have highest area for a given perimeter.
As there are four sides and all are equal for a square each side would be $\frac{38}{4} = \frac{19}{2} = 9.5 m .$

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(l)

(b)

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