Answer:
The expressions that represent the dimensions of the rectangle are:
(x+3) and (x+7)
Explanation:
The area of the said rectangle is
[tex]x^2+10x+21[/tex]To find an expression that represents the dimensions of the rectangle, we need to factorize the expression for the area.
[tex]\begin{gathered} x^2+10x+21 \\ =x^2+3x+7x+21 \\ =(x^2+3)+(7x+21) \\ =x(x+3)+7(x+3) \\ =(x+3)(x+7) \end{gathered}[/tex]Therefore, the expressions we are looking for are
(x+3) and (x+7)
