anonymous
  • anonymous
What is the area of quadrilateral MNOP?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1347832465830:dw|
anonymous
  • anonymous
tips?
anonymous
  • anonymous
I know the perimeter is 40 because each side of MNOP is 10

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anonymous
  • anonymous
I came to that conclusion because of 6-8-10 right triangle
anonymous
  • anonymous
so why is the area 96 and not 100?
anonymous
  • anonymous
isn't each side of quadrilateral MNOP 10?
KingGeorge
  • KingGeorge
Can you list out the lengths you're given please?
anonymous
  • anonymous
MB is 8 and BN is 6
anonymous
  • anonymous
I am assuming MN is 10 because of the 3-4-5 triangle rule
KingGeorge
  • KingGeorge
That's right. Are you given more information?
anonymous
  • anonymous
no
anonymous
  • anonymous
I assume this quad to be a square
anonymous
  • anonymous
the perimeter is 40
anonymous
  • anonymous
10+10+10+10
anonymous
  • anonymous
but I may be wrong
anonymous
  • anonymous
since the area is 96;not 100
KingGeorge
  • KingGeorge
I think you're supposed to assume that each side length is 10. However, this does not mean it's a square. For example:|dw:1347833088897:dw|This quadrilateral actually has an area of 50. Remember that you need to multiply by the height, and the height may be different than the side length.
anonymous
  • anonymous
ehh
anonymous
  • anonymous
the answer is 96 for area
anonymous
  • anonymous
and I am talking about quad MNOP
anonymous
  • anonymous
Not ABCD
KingGeorge
  • KingGeorge
Just bear with me for a second. That was just an example to show that having side lengths of 10, doesn't imply that the area is 100.
anonymous
  • anonymous
ahh
anonymous
  • anonymous
I see
anonymous
  • anonymous
shh
anonymous
  • anonymous
ahh
KingGeorge
  • KingGeorge
What I would do, is assume that all the triangles in your problem are congruent. Thus, you find the area of ABCD, and subtract 4*area of MBN. Does this make more sense?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
so
anonymous
  • anonymous
12 times 16=192?
anonymous
  • anonymous
k
anonymous
  • anonymous
192-96=96?
anonymous
  • anonymous
I sorta understand that
anonymous
  • anonymous
You find the whole area and subtract the part that interferes with MNOP
anonymous
  • anonymous
ty
KingGeorge
  • KingGeorge
Right. Are you getting 96 now?
anonymous
  • anonymous
yeppers
anonymous
  • anonymous
192-96=96
anonymous
  • anonymous
how did you get the height of the triangle?

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