- anonymous

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

- jamiebookeater

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- anonymous

|dw:1347408268242:dw|

- anonymous

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.

- anonymous

That is the closest I could draw

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## More answers

- anonymous

Haha ok

- anonymous

Let me try and work it out

- asnaseer

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

- asnaseer

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

- anonymous

Ok im working it out

- anonymous

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

- asnaseer

yes :)

- anonymous

Ok so now what so I do?

- asnaseer

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

- anonymous

6

- anonymous

6ft. I mean

- asnaseer

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

- anonymous

would it be 64 - 6 = 58?

- asnaseer

where did you get 64 from?

- anonymous

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

- asnaseer

why "twice"?

- anonymous

|dw:1347408897668:dw|

- anonymous

Or is it just multiplied once

- anonymous

like 4x8 once - 6

- asnaseer

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

- anonymous

Before you cut out the piece?

- asnaseer

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

- anonymous

Yeah maybe.. :P

- asnaseer

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

- anonymous

So then 80?

- anonymous

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

- anonymous

But I think I'm catching on! :)

- asnaseer

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

- anonymous

80?

- asnaseer

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

- anonymous

ok

- asnaseer

what is the length and width of the original rectangle?

- anonymous

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

- asnaseer

|dw:1347409394610:dw|

- anonymous

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

- asnaseer

:) that is correct

- asnaseer

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

- anonymous

so? 26?

- asnaseer

peeeeeerrrrfect!

- anonymous

Yahooo!!!!

- asnaseer

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

- anonymous

Im in honors im liike 2 grades ahead!!

- asnaseer

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

- anonymous

Thankx you 2

- asnaseer

yw :)

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