Question

express the area of the entire rectangle.
your answer should be a polynomial in standard form.
area = \square

Explanation:

Step1: Identify length and width

Length: $x+6$, Width: $x+2$

Step2: Apply area formula

Area = Length $\times$ Width = $(x+6)(x+2)$

Step3: Expand using distributive property

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

Step4: Combine like terms

$x^2 + (2x+6x) + 12 = x^2 + 8x + 12$

Answer:

$x^2 + 8x + 12$