Two opposite sides of a parallelogram each have a length of #4 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #80 #, how long are the other two sides?

Answer 1

#b=28.28#

Area of the parallelogram is #=ab sin theta# where #a=4# is the side and #theta=(3pi)/4# and we have to find #b=?# Therefore Area#=80=4b sin((3pi)/4)# or #bsin((3pi)/4)=80/4# or #b(0.707)=20# or #b=28.28#

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Answer 2

Maverick Smith

The other two sides of the parallelogram have lengths of 20.

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Answer 3

Jayden Jackson

The other two sides of the parallelogram each have a length of 10.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.