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express the area of the entire rectangle. your answer should be a polyn…

Question

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

Explanation:

Step1: Determine length and width

Length of rectangle is $x + 7$, width is $x+1$.

Step2: Use area formula

Area $A=(x + 7)(x + 1)$.

Step3: Expand using FOIL

$A=x\times x+x\times1+7\times x + 7\times1$.

Step4: Simplify

$A=x^{2}+x+7x + 7=x^{2}+8x + 7$.

Answer:

$x^{2}+8x + 7$