The area of a rectangle is [tex]2m^{4} +17m^{3} +11m^{2} +24m[/tex]
Explanation:
Given that the rectangle has a height of [tex]m+8[/tex] and a width of [tex]2m^{3} +m^{2} +3m[/tex]
To find the area of the rectangle, we need to multiply the height and width of the rectangle.
[tex]\text { Area }=(m+8)\left(2 m^{3}+m^{2}+3 m\right)[/tex]
Now, we can distribute the parenthesis,
[tex]\text { Area }=2 m^{4}+m^{3}+3 m^{2}+16 m^{3}+8 m^{2}+24 m[/tex]
Now, grouping the like terms, we have,
[tex]\text { Area }=2 m^{4}+17 m^{3}+11 m^{2}+24 m[/tex]
Thus, the area of the rectangle is [tex]2m^{4} +17m^{3} +11m^{2} +24m[/tex]
