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