Given:
The height of the rectangle is [tex]k^2+3[/tex]
The width of the rectangle is [tex]k^2+7[/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=h\times w[/tex]
Substituting the values, we get;
[tex]A=(k^2+3)(k^2+7)[/tex]
Multiplying the terms, we get;
[tex]A=(k^2)^2+7k^2+3k^2+21[/tex]
Adding the like terms, we have;
[tex]A=k^4+10k^2+21[/tex]
Thus, the area of the rectangle is [tex]k^{4}+10 k^{2}+21[/tex]
