Given:
A rectangle has a height of 5 units.
The width of the rectangle is [tex]x^2+2[/tex]
We need to determine the area of the rectangle.
Area of the rectangle:
The area of the rectangle can be determined using the formula,
[tex]A=l\times w[/tex]
where [tex]l=5[/tex] and [tex]w=x^2+2[/tex]
Substituting the values, we get;
[tex]A=5(x^2+2)[/tex]
Let us expand the expression by multiplying the terms.
Thus, we have;
[tex]A=5x^2+10[/tex]
Thus, the area of the rectangle is [tex]5x^2+10[/tex] square units.