Draw 2 different rectangles with a the perimeter of 8cm. One rectangle has the least area. The other rectangle has the greatest area.

1 answer

the largest rectangle would be the square
2W + 2L = 8
W+L=4

for a square each side is 2 cm, and the maximum area is 4 cm^2

There is no such thing as a smallest rectangle.
We can make one of the sides very very small, but there would still be an area.
e.g. suppose W = .001
then L = 3.999
and the area = .001(3.999) = .003999

We can make the area smaller and smaller without ever reaching zero.