luisz
What is the area of quadrilateral MNOP?
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luisz
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|dw:1347832465830:dw|
luisz
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tips?
luisz
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I know the perimeter is 40 because each side of MNOP is 10
luisz
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I came to that conclusion because of 6-8-10 right triangle
luisz
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so why is the area 96 and not 100?
luisz
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isn't each side of quadrilateral MNOP 10?
KingGeorge
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Can you list out the lengths you're given please?
luisz
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MB is 8 and BN is 6
luisz
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I am assuming MN is 10 because of the 3-4-5 triangle rule
KingGeorge
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That's right. Are you given more information?
luisz
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no
luisz
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I assume this quad to be a square
luisz
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the perimeter is 40
luisz
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10+10+10+10
luisz
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but I may be wrong
luisz
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since the area is 96;not 100
KingGeorge
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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.
luisz
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ehh
luisz
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the answer is 96 for area
luisz
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and I am talking about quad MNOP
luisz
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Not ABCD
KingGeorge
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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.
luisz
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ahh
luisz
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I see
luisz
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shh
luisz
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ahh
KingGeorge
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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?
luisz
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yeah
luisz
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so
luisz
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12 times 16=192?
luisz
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k
luisz
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192-96=96?
luisz
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I sorta understand that
luisz
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You find the whole area and subtract the part that interferes with MNOP
luisz
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ty
KingGeorge
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Right. Are you getting 96 now?
luisz
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yeppers
luisz
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192-96=96
davidji
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how did you get the height of the triangle?