Expressing area of an rectangle in polynomial standard form

Question

The width is 5+X and the length is x+6

Answer 1

A = WL = (x + 5)(x + 6) = x² + 11x + 30

Answer 2

The area of a rectangle is length times width.

In this case, A = (x + 5) (x + 6). Using the FOIL (first, outside, inside, last) method, we multiply:

the first term from each set of parentheses: x * x = x^2 (this carrot means x squared)

The two outside terms: x * 6 = 6x

The two inside terms: 5 * x = 5x

The two last terms: 5 * 6 = 30.

Next, we add like terms (terms where x is to the same power). In this case, 6x + 5x = 11x.

Then, we arrange all terms (here, we have x^2, 11x, and 30) so that the terms with x to the highest power come first.

We end with x^2 + 11x + 30.

Hope this helps!