Find the dimensions of a rectangle with perimeter 84 m whose area is as large as possible. (if both values are the same number, enter it into both blanks.)

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Mathematics

Reyna Boyle

16 January, 01:55

Find the dimensions of a rectangle with perimeter 84 m whose area is as large as possible. (if both values are the same number, enter it into both blanks.)

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Branden · Answer 1

The dimensions would be 21 m by 21 m.

To maximize area and minimize perimeter we use dimensions that are as close to equivalent as possible; 84/4 = 21, so we can use a square with side length 21.