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Mathematics 16 Online
OpenStudy (anonymous):

What is the perimeter of the polygon in the diagram?

OpenStudy (anonymous):

OpenStudy (anonymous):

__________ 2√ (a−b) 2 4(a+b)^ 2 2(a 2 +b 2 ) __________ 4√ a 2 +b 2

OpenStudy (anonymous):

Note that the length of all the sides of that polygon are the same (they were nice to you)! :-) So all you need to do here is use the distance formula to compute the distance between two points along one of the edges and then multiply your answer by 4. I would recommend finding the distance between the points (a,0) and (0,b). Does this make sense?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Which part doesn't make sense?

OpenStudy (anonymous):

i believe its 2(a 2 +b 2 )

OpenStudy (anonymous):

or __________ 4√ a 2 +b 2 not sure

OpenStudy (anonymous):

can anyone help me?

OpenStudy (arthur_ser):

use the Pythagoras' theorem: the square of a side of the polygon(c) is equal to the sum of the squares of a and b \[c ^{2} = \alpha ^{2} + \beta ^{2}\] and since the sides are equal the perimeter would be 4c

OpenStudy (anonymous):

it is not c

OpenStudy (arthur_ser):

not c, 4c, but you must find c first. Use the formula above to find c(c is just a variable which i have assigned for the side)

OpenStudy (anonymous):

It's D for anyone who needs it

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