juciystar234 3 years ago The sheet of plywood at the right has a piece cut from one corner.What is the area of the plywood?

1. juciystar234

|dw:1347408268242:dw|

2. jiji501

The area of the whole rectangle is 4 x8 = 32 You can now split up your shape into two rectangles. 8 x 2= 16 5 x 4 = 20 20+16 = 36 This makes no sense.

3. juciystar234

That is the closest I could draw

4. juciystar234

Haha ok

5. juciystar234

Let me try and work it out

6. asnaseer

work out the area of a large outer rectangle then subtract from this the area of the rectangle in the top right corner

7. asnaseer

you will need to work these out first: |dw:1347408608107:dw|

8. juciystar234

Ok im working it out

9. juciystar234

So isn't the piece missing a 2 by 3?

10. asnaseer

yes :)

11. juciystar234

Ok so now what so I do?

12. asnaseer

what is the area of the piece that was cut out?

13. juciystar234

6

14. juciystar234

6ft. I mean

15. asnaseer

correct - 6 ft^2 now subtract 6 from the area of the original whole rectangle

16. juciystar234

would it be 64 - 6 = 58?

17. asnaseer

where did you get 64 from?

18. juciystar234

because 4x8 twice from before you cut out that piece of plywood

19. asnaseer

why "twice"?

20. juciystar234

|dw:1347408897668:dw|

21. juciystar234

Or is it just multiplied once

22. juciystar234

like 4x8 once - 6

23. asnaseer

what is the area of a rectangle with length L and width W?

24. juciystar234

Before you cut out the piece?

25. asnaseer

I think you may be getting confused with the perimeter of a rectangle which is the total distance all around it.

26. juciystar234

Yeah maybe.. :P

27. asnaseer

Area of rectangle of length L and width W = L * W Perimeter of rectangle of length L and width W = 2(L + W)

28. juciystar234

So then 80?

29. juciystar234

Yeah I forgot how to do this from last year.... :P

30. juciystar234

But I think I'm catching on! :)

31. asnaseer

so, with the extra acquired knowledge, what will be the original rectangles area (before the piece was cut out)?

32. juciystar234

80?

33. asnaseer

are you sure - look again and what we said above...

34. juciystar234

ok

35. asnaseer

what is the length and width of the original rectangle?

36. juciystar234

So wasnt it 8x8=64 4x4=16 64+16=80?

37. asnaseer

|dw:1347409394610:dw|

38. juciystar234

OHHHHHHHHHHHHHHHH!!! OK!! :D Sooo 32?

39. asnaseer

:) that is correct

40. asnaseer

now just subtract from this the area of the piece that was cut out

41. juciystar234

so? 26?

42. asnaseer

peeeeeerrrrfect!

43. juciystar234

Yahooo!!!!

44. asnaseer

I'm sure with some practice you'll become a maths wizard very soon

45. juciystar234

46. asnaseer

that is fantastic - keep up the good work my friend :)

47. juciystar234

Thankx you 2

48. asnaseer

yw :)

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