A side of a square is equal to x+6. What is the polynomial that represents the area of the parallelogram?

Area=side^2

side=x+6

square it

(x+6) ^2 = (x+6) (x+6)

you can foil or distribute, same thing

foil

First

Outer

Inner

Last

(x+6) (x+6)

First: x times x=x²

Outer: x times 6=6x

Inner: 6 times x=6x

Last: 6 times 6=36

add them toegether

x²+6x+6x+36

x²+12x+36

the polynomial is x²+12x+36

(x+6) (x+6) = x^2 + 6x + 6x + 36 = x^2 + 12x + 36