Question

Please answer the question

Answer 1

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.