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What’s the expression for the area of the square ?

What’s the expression for the area of the square ?-example-1

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ANSWER

EXPLANATION;

Given that


\text{ The side length of the square is 4x + 2}

The area of a square is given below as


\text{ Area of a square = s}^2
\begin{gathered} \text{ Recall, that s = 4x + 2} \\ \text{ Area of a square = \lparen4x + 2\rparen}^2 \\ \text{ Expand the parentheses} \\ \text{ Area of a square = \lparen4x + 2\rparen \lparen4x + 2\rparen} \\ \text{ Area of a square = 16x}^2\text{ + 8x + 8x + 4} \\ \text{ Area of square = 16x}^2\text{ + 16x + 4} \end{gathered}

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