A rectangle has a perimeter of 100 cm. How do you find the greatest possible area for the rectangle?

1 Answer
Nityananda
May 30, 2017

624 sq cm

Explanation:

We know the perimeter of rectangle = 2*(length + width) unit.

Here 2*(length + width) = 100 cm

So, length + width = 100/2 = 50 cm

In rectangle length is always bigger than width.

By assuming, If length & width equals, it becomes square and area is the biggest i.e. 25 * 25 = 625 sq cm.

But, length will be bigger. Hence greatest possible area of this rectangle will be if length is 26 cm and width is 24 cm. So area will be 26*24 = 624 sq cm.

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