Question

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

Explanation:

Step1: Identify side lengths

Length: $x+4$, Width: $x+5$

Step2: Apply area formula

Area = Length $\times$ Width = $(x+4)(x+5)$

Step3: Expand using FOIL method

$x \cdot x + x \cdot 5 + 4 \cdot x + 4 \cdot 5 = x^2 + 5x + 4x + 20$

Step4: Combine like terms

$x^2 + (5x+4x) + 20 = x^2 + 9x + 20$

Answer:

$x^2 + 9x + 20$