Question

The expression 5x2 + 2x + 3 represents the area of a square. The area ofrectangle is represented by 2x2 + 3x + 1. Which expression represents thcombined area of the square and rectangle?

Answer 1

Area of a square

`5x^2\text{ + 2x + 3}`

Area of a rectangle

`2x^2\text{ + 3x + 1}`

Final answer

`\begin{gathered} \text{Sum of area of square and area of a rectangel} \\ =5x^2+2x+3+2x^2\text{ + 3x + 1} \\ =5x^2+2x^2\text{ + 2x + 3x + 3 + 1} \\ =7x^2\text{ + 5x + 4} \end{gathered}`