The area of the figure below is (4x + 2)(4x + 3). Find another expression for this area by finding the sum of the areas of the smaller rectangles.

16x^2 + 20x + 6
16x^2 + 16x + 6
16x + 10
64x^2 + 80x + 24

Question

The area of the figure below is (4x + 2)(4x + 3). Find another expression for this area by finding the sum of the areas of the smaller rectangles.


	  16x^2 + 20x + 6	
	  16x^2 + 16x + 6	
	  16x + 10	
	  64x^2 + 80x + 24

anonymous · Answer

attachment

campbell_st · Answer

looking at your figure the and 4 reactangles(squares)

find the areas of each

grey = $$4x \times (4x+1) = 16x^2  4x$$

bottom white
 $$2 \times 4x = 8x$$

right white

$$2 \times (4x + 1) = 8x + 2$$

black

$$2 \times 2 = 4$$

sum the areas 

$$16x^2 + 4x + 8x + 8x + 2 + 4 = 16x^2 + 20x + 6$$

campbell_st · Answer

the 1st area is 

$$16x^2 + 4x$$

anonymous · Answer

It isnt a choice

campbell_st · Answer

can you please read the solution as the 1st area I found is missing an a plus sign... so I posted the correct expression to help you understand...

anonymous · Answer

Oh ok sorry. Thanks