## anonymous 3 years ago Help with geometry/rational expressions?

1. anonymous

2. anonymous

1st step: What is the area of the rectangle?

3. anonymous

$\frac{ 1 }{ 6 }?$

4. anonymous

If you cut the triangle in half, and then stack it on top of the other, and divide up the rectangle, it could be $\frac{ 1 }{ 6 }$

5. anonymous

I'm just asking for the total area of the rectangle for now. The sides of the rectangle are x and x+2. So what is the area?

6. anonymous

(x)(x + 2)

7. anonymous

Great, now we try to find the area of the triangle. Any ideas?

8. anonymous

(x)(2)

9. anonymous

|dw:1367591002545:dw|

10. anonymous

(2)(x/2)

11. anonymous

(Two times x divided by two.)

12. anonymous

Well that happens to be the area of the total triangle which is great! So now to get the fraction we can write${areaOfTriangle\over TotalArea}$

13. anonymous

${x\over(x)(x+2)}$x's cancel.

14. anonymous

Oh, okay.

15. anonymous

Does that make sense? Did you understand?

16. anonymous

I think I might. |dw:1367591373451:dw|

17. anonymous

${1\over x+2}$

18. anonymous

The fraction for the triangle is $\frac{ 1 }{ x + 2 }$ Yes?

19. anonymous

That is the answer to the question, yes

20. anonymous

For the fraction of the rectangle shaded?

21. anonymous

yes

22. anonymous

Thank you!