Question

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

Explanation:

Step1: Recall area formula for rectangle

$A = l\times w$

Step2: Identify length and width

Length $l=x + 4$, width $w=x + 2$

Step3: Multiply length and width

$(x + 4)(x + 2)=x(x + 2)+4(x + 2)$

Step4: Distribute

$x(x + 2)+4(x + 2)=x^{2}+2x+4x + 8$

Step5: Combine like - terms

$x^{2}+(2x+4x)+8=x^{2}+6x + 8$

Answer:

$x^{2}+6x + 8$