5 Aaron wants to draw rectangles that each have an area of 36 square inches.
The length and width of each rectangle are whole numbers of inches.
OK, we have Area=L×W where area is 36 and L and W are whole numbers, aka non-negative integers.
36=LW
a. A rectangle can have a width of 3 inches.
Sure, L=36/W = 36/3=12, a whole number. True
b. A rectangle can have a length of 8 inches.
W=36/L=36/8=9/2, not a whole number. False
C. A rectangle can have a length of 18 inches and a width of 2 inches.
Sure 18×2=36, our area. True
d. A rectangle can have a width of 6 inches and a perimeter
that is less than 36 inches.
L=36/6=6
It's a square, perimeter 6+6+6+6=24 which is of course less than 36
True
e. A rectangle can have a length of 9 inches, a width of 4 inches, and a perimeter equal to its area.
Perimeters can never really equal areas; they have different units. Let's just assume they mean they have the same number.
Area is 9×4=36, as desired. Perimeter is 9+4+9+4=26, not equal to its area.
False
