Step-by-step explanation:
So we are given a rectangle with two dimensions. We know that the area of a rectangle is L x W, and luckily, they've given us both of those! Therefore, with the dimensions given, we can rewrite the area of this rectangle like so:
A = (x+1)(x+2)
Now we simplify the function. Multiply the x in the first set of parenthesis over to the other set:
A = (x+1)(x+2)
x times x = x^2
x times 2 = 2x
Now we multiply the 1 in the first set of parenthesis over to the other set:
A = (x+1)(x+2)
1 times x = x
1 times 2 = 2
Now that we've distributed all terms, we add our results:
A = x^2 + 2x + x + 2
A = x^2 + 3x + 2
And we have our answer!
