Question

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

Explanation:

Step1: Identify rectangle dimensions

Length: $x+9$, Width: $x+2$

Step2: Apply area formula

Area = Length $\times$ Width, so $(x+9)(x+2)$

Step3: Expand using FOIL method

$x \cdot x + x \cdot 2 + 9 \cdot x + 9 \cdot 2$

Step4: Simplify terms

$x^2 + 2x + 9x + 18$

Step5: Combine like terms

$x^2 + (2x+9x) + 18 = x^2 + 11x + 18$

Answer:

$x^2 + 11x + 18$