Answer :
Answer:
Explanation:
The area represented by the model can be written in terms of monomials as
[tex](2m^3+m^2+3m)(m+8)[/tex]We expand the above expression to get:
[tex]m(2m^3+m^2+3m)+8(2m^3+m^2+3m)[/tex][tex]2m^4+m^3+3m^2+16m^3+8m^2+24m^{}[/tex]Adding the like terms gives
[tex]2m^4+(m^3+16m^3)+(3m^2+8m^2)+24m[/tex][tex]\boxed{=2m^4+17m^3+11m^2+24m\text{.}}[/tex]Hence, the area of the rectangle is
[tex]\boxed{A=2m^4+17m^3+11m^2+24m\text{.}}[/tex]