Question

Express the area of the entire rectangle.

Answer 1

Answer : x^2 + 11x + 18

This prompt is telling you to find the area of the rectangle, so you multiply these two factors. (x + 9)(x + 2).

One way you can do this is by using the foil method.

Which is:

(a+b) (c+d) = ac + ad + bc + bd

Answer 2

Answer:  x^2+11x+18

Explanation:

• The blue rectangle is x*x = x^2 in area
• The pink rectangle has area of x*9 or 9x
• The green rectangle has area 2*x or 2x
• The orange rectangle has area 2*9 = 18

Add up those areas to get the final answer

x^2+9x+2x+18 = x^2+11x+18

note the like terms 9x and 2x combine to 11x