## ValentinaT Group Title Help with geometry/rational expressions? one year ago one year ago

1. ValentinaT Group Title

2. hea Group Title

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

3. ValentinaT Group Title

$\frac{ 1 }{ 6 }?$

4. ValentinaT Group Title

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. hea Group Title

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. ValentinaT Group Title

(x)(x + 2)

7. hea Group Title

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

8. ValentinaT Group Title

(x)(2)

9. hea Group Title

|dw:1367591002545:dw|

10. ValentinaT Group Title

(2)(x/2)

11. ValentinaT Group Title

(Two times x divided by two.)

12. hea Group Title

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. hea Group Title

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

14. ValentinaT Group Title

Oh, okay.

15. hea Group Title

Does that make sense? Did you understand?

16. ValentinaT Group Title

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

17. hea Group Title

${1\over x+2}$

18. ValentinaT Group Title

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

19. hea Group Title

That is the answer to the question, yes

20. ValentinaT Group Title

For the fraction of the rectangle shaded?

21. hea Group Title

yes

22. ValentinaT Group Title

Thank you!