Question

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

Explanation:

Step1: Use the formula for the area of a rectangle

The area of a rectangle is \(A = length\times width\). Here, the length of the rectangle is \((x + 9)\) and the width is \((x + 3)\). So, \(A=(x + 9)(x + 3)\).

Step2: Apply the distributive property (FOIL method)

$$
LATEXBLOCK0
$$

Step3: Combine like - terms

Combine the \(x\) - terms: \(3x+9x = 12x\). So the polynomial is \(x^{2}+12x + 27\).

Answer:

\(x^{2}+12x + 27\)