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Find a polynomial expression for the total area of the figure

Find a polynomial expression for the total area of the figure-example-1
User Wazeem
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1 Answer

4 votes

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}

Final answers


A_T=x^2+10x

The correct answer is the letter D.

Find a polynomial expression for the total area of the figure-example-1
User Thkeen
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4.4k points