anonymous
  • anonymous
What is the area of the polygon shown below? http://prntscr.com/7anhsw
Mathematics
katieb
  • katieb
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JoannaBlackwelder
  • JoannaBlackwelder
Can you split the figure into two rectangles?
anonymous
  • anonymous
Idk what you mean by that
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432882152651:dw|

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JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432882192457:dw|
JoannaBlackwelder
  • JoannaBlackwelder
See how I cut the figure into two rectangles?
anonymous
  • anonymous
Mhm where would the units go now?
JoannaBlackwelder
  • JoannaBlackwelder
What do you think? Give it a shot using my drawing :-)
anonymous
  • anonymous
|dw:1432882383425:dw|
anonymous
  • anonymous
I doubt that is it
JoannaBlackwelder
  • JoannaBlackwelder
That looks great overall! Can you find the area of the big rectangle?
anonymous
  • anonymous
126?
JoannaBlackwelder
  • JoannaBlackwelder
Yep, perfect!
JoannaBlackwelder
  • JoannaBlackwelder
There is one more length that you didn't draw that is important. Any ideas on what that is?
JoannaBlackwelder
  • JoannaBlackwelder
*that you didn't label
anonymous
  • anonymous
The length of the small square
anonymous
  • anonymous
Rectangle*
JoannaBlackwelder
  • JoannaBlackwelder
Yep. Any ideas on that?
anonymous
  • anonymous
8?
JoannaBlackwelder
  • JoannaBlackwelder
Hm, no, that's not what I get.|dw:1432882744702:dw| So, the total is 18, and those two pieces are labelled.
anonymous
  • anonymous
Idk Im stumped with this one, my next guess would be half if 18 or 9
JoannaBlackwelder
  • JoannaBlackwelder
No, the smaller pieces add up to the whole side. So, 5+x+8=18
JoannaBlackwelder
  • JoannaBlackwelder
Do you see how I got the equation?
anonymous
  • anonymous
Slightly, so the length of the small rectangle woulf be 5?
JoannaBlackwelder
  • JoannaBlackwelder
Yep :-)
JoannaBlackwelder
  • JoannaBlackwelder
So, what is the area of the bottom rectangle?
anonymous
  • anonymous
20?
JoannaBlackwelder
  • JoannaBlackwelder
Nice! So, what is the area of the whole figure?
anonymous
  • anonymous
Would I multiply the two areas together?
JoannaBlackwelder
  • JoannaBlackwelder
No, sum them.
anonymous
  • anonymous
So my total area would be 146
JoannaBlackwelder
  • JoannaBlackwelder
Yep :-)
anonymous
  • anonymous
Thanks!
JoannaBlackwelder
  • JoannaBlackwelder
You're welcome!

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