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19 July, 23:04

My assignment says The perimeter of a rectangle is 30 cm.

Find the whole-number dimensions of the rectangle with:

a) the greatest area

b) the least area

can someone explain?

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  1. 19 July, 23:25
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    Let side be "a" cm. So another side is (30-2a) / 2=15-a

    S=ab=a (15-a) = 15a-a^2 - parabola

    maximum when a = - 15/-2=7.5 cm

    When a=7.5 all sides are 7.5 cm

    So it's a square. S=a*a=7.5*7.5=56.25 cm^2 - max

    There is no global minimun for S. (look at the graphic)
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