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Let ABCD be a parallelogram such that AB = 10, BC = 14, and angle A = 45 degrees. Find the area of the parallelogram.

 Jul 6, 2020
 #1
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A formula for the area of a parallelogram is:  Area  =  a · b · sin(C)

 

For it to apply in this situation, we need the size of angle B:  angle(B)  =  180o - angle(A)  =  135o.

 

Area  =  10 · 14 · sin(135o)  =  ...

 Jul 6, 2020
 #2
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in this case ONLY...   area = 10*14/sqrt(2)  smiley

 Jul 8, 2020

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