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?

Guest Apr 19, 2018

edited by
Guest
Apr 19, 2018

#2**+1 **

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

CPhill
Apr 19, 2018