Given:
Consider the sides of the rectangle are (x+7) and (x+5) units.
To find:
The area of the entire rectangle in standard form.
Solution:
The area of the rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is width of the rectangle.
So, the area of the given rectangle is:
[tex]A=(x+7)\times (x+5)[/tex]
[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)[/tex]
[tex]A=x^2+5x+7x+35[/tex]
[tex]A=x^2+12x+35[/tex]
Therefore, the area of the rectangle is [tex]A=x^2+12x+35[/tex].