## EXOEXOEXO one year ago find the area of the trapezoid

1. EXOEXOEXO

|dw:1436916462396:dw|

2. pooja195

$\huge~\rm~A=\frac{ a+b }{ 2}h$

3. pooja195

Can you figure out what a b h are?

4. pooja195

remember that a trapezoid has 2 bases

5. EXOEXOEXO

the answer choices are a) 44 b) 48 c) 90 cd) 100

6. EXOEXOEXO

*d) 100

7. jdoe0001

hmmmm how did you get 100?

8. pooja195

$\huge~\rm~A=\frac{ a+b }{ 2}h$Can you figure out what a b h are?

9. pooja195

@jdoe0001 he meant the answer choice :P

10. jdoe0001

ohh ahemm hehe

11. EXOEXOEXO

a and b are the bases of the trapezoid

12. pooja195

right what are their values?

13. jdoe0001

hint |dw:1436917508346:dw|

14. EXOEXOEXO

8+14/2=22/2=11 5x11=55

15. pooja195

a=8 b=14 h=?

16. jdoe0001

|dw:1436917675313:dw|

17. EXOEXOEXO

how do you find the height?

18. pooja195

its given

19. jdoe0001

well.. I should have put the tickmark on the side itself =( |dw:1436917793358:dw|

20. pooja195

|dw:1436916989730:dw| look at this thing that @jdoe0001 drew

21. Vocaloid

we have a bit of a misunderstanding here, the height isn't 5 |dw:1436917040544:dw|

22. jdoe0001

if the two slanted sides, are equal, that means, the angles they make above and down below, are also equal and if those angles are equal, the "gaps" at the bottom are also equal

23. Vocaloid

now, if we take one of the triangles on the side, we can solve for height using the Pythagorean theorem |dw:1436917106452:dw|

24. EXOEXOEXO

h=2

25. jdoe0001

hehee anyhow @EXOEXOEXO Vocaloid just pull "3" out of his pocket there any ideas where he got that from?

26. EXOEXOEXO

nvm

27. Vocaloid

oh, right I should probably explain where the 3 came from, haha |dw:1436917232181:dw|

28. EXOEXOEXO

h=4

29. Vocaloid

(I drew a rectangle connecting the bottom of the trapezoid to the top of the rectangle, giving us 8 + 2x = 14, meaning that each of the little segments is 3) but yeah, h = 4, and now you can go back to the formula

30. wolf1728

I found a formula for the height here: http://www.1728.org/quadtrap.htm We will have to call: a = 14 b = 5 c = 8 d = 5 height^2 = (a+b+-c+d)*(-a+b+c+d)*(a-b-c+d)*(a*b-c-d) / 4 * (a -c)^2 height^2 = (16*4*6*6) / 4 * 36 height^2 = 16 height = 4

31. wolf1728

Hey hey we agree about the height !! :-)

32. EXOEXOEXO

thanks everyone for helping me!

33. wolf1728

Area = [(a+c) / 2] * height Area = [(14 + 8) / 2] * 4 Area = 44

34. wolf1728

'sokay - glad to help out :-)