Question 1161587
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(1)  Use the formula for the area of the partallelogram

         area = {{{a*b*sin(alpha)}}},

     where "a" and "b" are any two adjacent sides of the parallelogram and  {{{alpha}}}  is the angle concluded between them. 


     From this formula,  {{{sin(alpha)}}} = {{{656/(32*41)}}} = 0.5.



(2)  Hence, the acute angle of the parallelogram is 30°,  and the obtuse angle is 150°.

     The cosine of the obtuse angle is  cos(150°) = - {{{sqrt(3)/2}}}  then.



(3)  Now apply the cosine rule


         the length of the longer diagonal = {{{sqrt(32^2 + 41^2 + 2*32*41*(sqrt(3)/2))}}} = {{{sqrt(4977.451)}}} = 70.55 feet.     <U>ANSWER</U>
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Solved.