## anonymous one year ago Find the area of the following shape. You must show all work to receive credit.

1. anonymous

2. anonymous

@ganeshie8

3. ganeshie8

split that into simpler shapes : triangles, trapezoids

4. anonymous

thank you, but how do you find the area of each of the shapes I split it into?

5. ganeshie8

|dw:1436196747018:dw|

6. ganeshie8

recall the area of trapezoid formula |dw:1436196960783:dw|

7. ganeshie8

observe that the shape1 looks like a trapezoid can you eyeball the two bases and height of it ?

8. anonymous

Would the height be 6 and the base be 7?

9. ganeshie8

|dw:1436197151745:dw|

10. ganeshie8

Yes, top base = 7 bottom base = 6 height = 6 plug them in the formula

11. ganeshie8

|dw:1436197274087:dw|

12. anonymous

So the area of shape 1 would be 39

13. ganeshie8

Yes! next look at shape 2

14. ganeshie8

remember area of triangle formula ?

15. anonymous

Isnt it $\frac{ 1 }{ 2 } base \times height$

16. ganeshie8

Yes, work it

17. anonymous

base is 3 and height is 3 so half of nine is 3

18. ganeshie8

are you really sure half of nine is 3 ?

19. ganeshie8

9/2 = ?

20. anonymous

4.5?

21. anonymous

oh oops, yes 4.5.

22. anonymous

there u go ;)

23. anonymous

Thanks (:

24. ganeshie8

good, what about shape3 base = ? height = ?

25. ganeshie8

|dw:1436197897447:dw|

26. anonymous

The height would be 3 the base would be 9

27. anonymous

half of that is 13.5

28. ganeshie8

Excellent!

29. anonymous

So I just add all those and that would be the area?

30. ganeshie8

Yes

31. anonymous

Thank you so much!!

32. ganeshie8

Area of total shape = area of shape1 + area of shape2 + area of shape3

33. ganeshie8

= 39 + 4.5 + 13.5 ?

34. anonymous

So the total area is 57

35. ganeshie8

Yep! good job !!

36. anonymous

Thank you, have a great day!

37. ganeshie8

yw, you2