Multiplying monomials to find area

express the area of a rectangle with length 4y and with two Y as a monomial so the area of a rectangle is just the width times the height or the base times the height now here the base is 4y so let me just write down area it's going to be equal to the width of the base times the height the width is 4y and the height here is 2y so it's going to the area is going to be 4y times 2y now here we can just use the associative and the commutative properties of multiplication so just swap the order that we do this multiplying in instead of multiplying 4 times y times 2 times y we could say this is the same thing as 4 times 2 times y times y and of course 4 times 2 that part right over there is just equal to 8 and then Y times y well that's just Y squared or it's Y to the first times y to the first which is also Y squared so it becomes 8y squared so that's the area and it's a monomial this is a polynomial with only one term