## andjie Group Title Help needed?? one year ago one year ago

1. andjie

Find the total area of all shaded rectangles. This is about Polynomials have no idea where to start

2. andjie

Step by step if possible

3. allank

What you want to do first is identify the rectangles. I spot two. Do you?

4. andjie

I am so confused right now

5. Emilyggarza

I am confused and i do not even get my question i post

6. andjie

I completely understand

7. satellite73

looks like they are all shaded

8. satellite73

since they are all shaded, and since you have a square, the area is the square of the side the length of the side is $$3x+4$$ so the total area is $$(3x+4)^2$$

9. andjie

ok

10. andjie

How did you get that?

11. satellite73

by looking across the top and adding the two lengths. one is $$3x$$ the other is $$4$$ so the total length is $$3x+4$$

12. satellite73

and therefore the total area is $$(3x+4)^2$$

13. andjie

See the book is horrible at explaining how to do this, what does this have to do with Polynomials

14. satellite73

the other answer is the area of the large square, which is $$3x\times 3x=9x^2$$ plus the area of the small square which is $$4\times 4=16$$ plus the area of the two reactangles, each of which is $$3x\times 4=12x$$ when you add these you get $9x^2+12x+12x+16=9x^2+24x+16$

15. satellite73

they are trying to get you to see by making a square, that $(3x+4)^2=9x^2+24x+16$