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Among all rectangles that have a perimeter of 134, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

Respuesta :

The answer to this question would be: L= 33.5, W=33.5

In this question, the rectangle has a perimeter of 134. From this number, you can get this equation:

perimeter=134
2(L+W)= 134
L+W=67
L= 67-W

Using the formula for dimension you can get this equation:
dimension= L * W
dimension= (67-W)W= 67W- W^2

The maximum dimension should be differentiation of the equation which will look like:
67 -2w= 0
2w= 67
w= 33.5

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