Answer: x^2+9x+8
Work Shown:
A = area of blue square = x*x = x^2
B = area of green rectangle = 8*x = 8x
C = area of purple rectangle = x*1 = x
D = area of orange rectangle = 8*1 = 8
8x and x are like terms which combine to x+8x = 9x
So,
A+B+C+D = x^2+8x+x+8 = x^2+9x+8 is the total area
This is a visual approach to using the FOIL rule.
