Calculate Perimeter: To solve this problem, we need to first find the perimeter of the rectangle. The perimeter P of a rectangle with length A and width B is given by P=2(A+B).
Calculate Area: Next, we calculate the area of the rectangle. The area A of a rectangle with length A and width B is given by A=A×B.
Multiply Perimeter and Area: Now, we multiply the perimeter by the area. So, the result R is given by R=P×A=2(A+B)×(A×B).
Expand Multiplication: We can expand the multiplication to simplify the expression. R=2(A2⋅B+A⋅B2).
Final Result: This is the simplest form of the expression for the result of multiplying the perimeter by the area of a rectangle with length A and width B.