Question

find the area. simplify your answer.

Explanation:

Step1: Recall parallelogram area formula

Area = base × height

Step2: Substitute given expressions

Base = $x+9$, Height = $x+1$
Area = $(x+9)(x+1)$

Step3: Expand using FOIL method

$(x+9)(x+1) = x^2 + x + 9x + 9$

Step4: Combine like terms

$x^2 + (1+9)x + 9 = x^2 + 10x + 9$

Answer:

$x^2 + 10x + 9$