A parallelogram has the vertices (-1, 2), (4, 4), (2, -1) and (-3, -3). Determine what type of parallelogram [10 points]. Find the perimeter and area [20 points].
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OpenStudy (anonymous):
@DSS could you help again?
OpenStudy (anonymous):
OK
OpenStudy (anonymous):
give me a min
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
what do you mean by " type of parallelogram " ??
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OpenStudy (anonymous):
what is the shape
OpenStudy (anonymous):
@Akhilender
OpenStudy (anonymous):
Using your distance formula, you see that all sides of the parallelogram are the same length, which is
\[\sqrt{29}\]
OpenStudy (anonymous):
Perimeter is s+s+s+s. so \[\sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29}=4\sqrt{29}\] units
OpenStudy (anonymous):
A=s*s\[\sqrt{29}*\sqrt{29}=29 \square units\]
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OpenStudy (anonymous):
I don't know if this is correct but you've got a parallelogram with 4 equal sides...I'd say a rhombus. The angles aren't equal so you can't have a square.
OpenStudy (anonymous):
thank you so much! you honestly have no idea how much this helps me