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# challenge+help?

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A rectangle has a perimeter of 24 cm. What is the smallest possible area the rectangle can have, using only whole number dimensions (length and width)?

Wouldn't this be ??

length= 6

width= 2

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What is the greatest perimeter you can make for a rectangle with an area of 24 square units?

Apr 19, 2018
edited by Guest  Apr 19, 2018

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help.

Apr 19, 2018
#2
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The rectangle will have the smallest area  when the  difference between the width and length is the greatest....for a perimeter of 24 we have

24  = 2(W + L)

12  = W + L

So.....the area is smallest for integer sides of 11 cm and  1 cm

So...the smallest area will be  1 * 11  =   11 cm^2

What is the greatest perimeter you can make for a rectangle with an area of 24 square units?

Assuming integer sides....the gretest perimeter will be  a  24 x 1  rectangle

And the perimeter  is  2(24 + 1)  =   50 units

Apr 19, 2018