Answer:
The area is:
[tex]{b}^{5} + 8 {b}^{4} + 11 {b}^{3} + 4 {b}^{2} [/tex]
Step-by-step explanation:
To find the area of a rectangle, multiply the width by the height (I'll be using x for b, as it is easier when writing the equations):
[tex]a = ({x}^{ 3} + {x}^{2} )( {x}^{2} + 7x + 4) \\ a = {x}^{5} + 7{x}^{4} + 4 {x}^{3} \\ + {x}^{4} + 7 {x}^{3} + 4 {x}^{2} \\ a = {x}^{5} + 8 {x}^{4} + 11 {x}^{3} + 4 {x}^{2} [/tex]