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 $l=x + 6$, width $w=x + 4$

Step3: Multiply length and width

$(x + 6)(x + 4)=x(x + 4)+6(x + 4)$

Step4: Expand the products

$x(x + 4)+6(x + 4)=x^{2}+4x+6x + 24$

Step5: Combine like - terms

$x^{2}+(4x+6x)+24=x^{2}+10x + 24$

Answer:

$x^{2}+10x + 24$