Answer:
- D. 2x² + 10xy + 8x² because (2x+ 2y) by (x + 4y)
Step-by-step explanation:
Let's mark the sides of the big square as x and a small square as y
See attached picture below
Then we will have the sides of the rectangle:
- x + x + y + y = 2x + 2y
- and
- x + y + y + y + y = x + 4y
The area of the figure is:
- A = lw
- A = (2x+ 2y)(x + 4y)
- = 2x² + 8xy + 2xy + 8y²
- = 2x² + 10xy + 8x²
Correct option is D.
