Find a polynomial expression for the total area of the figure

Question

asked Feb 9, 2023 175k views

1 Answer

Thkeen · Answer 1 · 2023-02-15T05:05:04+0000

Let's enumerate the squares

The area of the square 1 will be

$\begin{gathered} A_1=x\cdot x \\ \\ A_1=x^2 \end{gathered}$

The area of the square 2

$\begin{gathered} A_2=6\cdot x \\ \\ A_2=6x \end{gathered}$

And the third square

$\begin{gathered} A_3=4\cdot x \\ \\ A_3=4x \end{gathered}$

The total area will be

$\begin{gathered} A_T=A_1+A_2+A_3 \\ \\ A_T=x^2+6x+4x \\ \\ A_T=x^2+10x \end{gathered}$

The correct answer is the letter D.