Answer:
[tex]Area = (x - 5)^2[/tex] and [tex]Area = x^2 - 10x + 25[/tex]
Step-by-step explanation:
Given
[tex]Length = (x - 5)\ units[/tex]
Required
Determine the area of the square
[tex]Area = Length * Length[/tex]
[tex]Area = (x - 5) * (x - 5)[/tex]
This can be expressed as
[tex]Area = (x - 5)^2[/tex]
Or:
[tex]Area = (x - 5) * (x - 5)[/tex]
Open brackets
[tex]Area = x(x -5) -5(x - 5)[/tex]
[tex]Area = x^2 - 5x - 5x + 25[/tex]
[tex]Area = x^2 - 10x + 25[/tex]
Hence, the expressions are:
[tex]Area = (x - 5)^2[/tex] and [tex]Area = x^2 - 10x + 25[/tex]
