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QUESTION

What is the perimeter of a parallelogram with sides ##11/12## and ##4/9##?

##49/18=2 13/18##

The opposite sides of a parallelogram are ##color(blue)"parallel and equal in length"##

Thus perimeter ##=(2xx11/12)+(2xx4/9)##

##=cancel(2)^1xx11/cancel(12)^6+8/9=11/6+8/9##

To add fractions we require a common denominator, in this case 18.

##=(11xx3)/(6xx3)+(8xx2)/(9xx2)=33/18+16/18##

simplifying.

##33/18+16/18=49/18=2 13/18##

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