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The perimeter of a rectangle is 24.
Write the function that describes its area in terms of one of the sides


The perimeter of a rectangle is 24. What is the maximum possible area of such rectangle?

The perimeter of a rectangle is 24. For what length of sides does the maximum area occur for this rectangle?

Respuesta :

The function that describes the area of the rectangle in terms of one of the sides is A = 12L - L².

How to compute the area?

The perimeter of the rectangle is given as 24. Therefore, the area in terms of one of its side will be:

A = L(24 - 2L)/2

A = L(12 - L)

A = 12L - L²

The length side for the maximum area will be 6 and 6. The maximum area of the rectangle will be:

= 6 × 6

= 36

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