Answer:
3x² + 15x + 18
Explanation:
The shape is a large rectangle at the bottom and a smaller rectangle at the top left.
area of rectangle = length × width
bottom rectangle:
length = 2x + 4
width = (2x + 5) - (x + 2) = 2x + 5 - x - 2 = x + 3
area of bottom rectangle = length × width = (2x + 4)(x + 3)
area of bottom rectangle = 2x² + 6x + 4x + 12 = 2x² + 10x + 12
upper rectangle:
length = x + 3
width = x + 2
area of bottom rectangle = length × width = (x + 3)(x + 2)
area of bottom rectangle = x² + 2x + 3x + 6 = x² + 5x + 6
total area =
= area of bottom rectangle + area of upper rectangle
= 2x² + 10x + 12 + x² + 5x + 6
= 3x² + 15x + 18