Question

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

Answer 1

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}`