Multiplying and Dividing Functions

Kelsey is painting a right rectangular pyramid that contains a smaller right rectangular pyramid inside of it. She wants to make sure she has enough paint to paint the whole pyramid, so she needs to know the surface area. Surface area is modeled by the equation $$A=l\times w+l\times \sqrt{\left(\frac{w}{2}\right)^{2}+h^{2}}+w\times \sqrt{\left(\frac{l}{2}\right)^{2} + h^{2}}$$ Kelsey knows the length of the smaller pyramid. She also knows the following information, which she puts into functions:

• The height of the new pyramid $(H)$ is $5$ more inches that the length of the small pyramid $(l)$. The function is $H=l+5$.
• The length of the new pyramid $(L)$ is $2$ more inch than the length of the small pyramid $(l)$. The function is $L=l+2$.
• The width of the new pyramid $(W)$ is $2$ less than $2$ times the length of the small pyramid $(l)$. The function is $W=2l-2$.

Find the function for surface area of the new larger right rectangular pyramid by multiplying and adding the functions above into simplest form.