Answer:
x² + 10x + 25 units²
Step-by-step explanation:
The area of a square is the length of the side squared, that is
area = (x+ 5)² = (x + 5)(x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 5) + 5(x + 5) ← distribute both parenthesis
= x² + 5x + 5x + 25 ← collect like terms
= x² + 10x + 25
The square area is "[tex]x^2+ 10+25[/tex]".
Side length= [tex](x+5)[/tex]
Using formula:
Square area [tex]\bold{A= a^2}[/tex]
[tex]\to (x+5)^2= x^2+ 2\times x\times 5+5^2\\\\[/tex]
[tex]= x^2+ 10+25\\\\[/tex]
Therefore, the final answer is "[tex]x^2+ 10+25[/tex]"
Learn more about the area of the square here:
brainly.com/question/1658516
