Two opposite sides of a parallelogram have lengths of #12 #. If one corner of the parallelogram has an angle of #pi/8 # and the parallelogram's area is #36 #, how long are the other two sides?

Answer 1

Other two sides are #7.84(2dp)# unit long.

We know the area of the parallelogram as #A_p=s_1*s_2*sin theta # Here #s_1 =12 ; theta=pi/8=180/8=22.5^0 ; A_p=36 :. 36=12*s_2*sin22.5 or s_2=36/(12 *sin22.5) =3/sin22.5=7.84(2dp)#unit[Ans]

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Answer 2

Sophia Alfred

The lengths of the other two sides of the parallelogram are 6 units each.

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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.