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 formula for the area of a rectangle is \(A = \text{length}\times\text{width}\). Here, the length of the rectangle is \((x + 6)\) and the width is \((x + 5)\). So, \(A=(x + 6)(x + 5)\).

Step2: Expand the product using the distributive property (FOIL method)

$$
LATEXBLOCK0
$$

Step3: Combine like - terms

Combine the \(x\) terms: \(5x+6x = 11x\). So the polynomial is \(x^{2}+11x + 30\).

Answer:

\(x^{2}+11x + 30\)