Answer:
80 cm^2
Step-by-step explanation:
Let the width of the rectangle equal x. This means the length is x + 2, as it is 2 cm longer than the width. The formula for perimeter is: P = 2l + 2w, and substitute in the values of the length, width, and perimeter:
P = 2l + 2w
36 = 2(x + 2) + 2(x)
36 = 2x + 4 + 2x
36 = 4x + 4
4x = 32
x = 8
x represents the width, so the width is 8 and the length is 10. Area is length times width, so the area is 8 x 10 or 80 cm^2.
