Question

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

Explanation:

Step1: Identify side lengths

Length: $x+6$, Width: $x+5$

Step2: Apply area formula

Area = $\text{Length} \times \text{Width} = (x+6)(x+5)$

Step3: Expand using FOIL method

$(x \times x) + (x \times 5) + (6 \times x) + (6 \times 5) = x^2 + 5x + 6x + 30$

Step4: Combine like terms

$x^2 + (5x+6x) + 30 = x^2 + 11x + 30$

Answer:

$x^2 + 11x + 30$