document.write( "Question 1161587: A certain city block is in the form of a parallelogram. Two of its sides measure 32 ft and 41 ft. If the area of the land in the block is 656 square feet, what is the length of its longer diagonal? \n" ); document.write( "

Algebra.Com's Answer #785188 by ikleyn(52906) $\"\"$ $\"About$

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document.write( "(1)  Use the formula for the area of the partallelogram\r\n" );
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document.write( "         area = ,\r\n" );
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document.write( "     where \"a\" and \"b\" are any two adjacent sides of the parallelogram and    is the angle concluded between them. \r\n" );
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document.write( "     From this formula,   =  = 0.5.\r\n" );
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document.write( "(2)  Hence, the acute angle of the parallelogram is 30°,  and the obtuse angle is 150°.\r\n" );
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document.write( "     The cosine of the obtuse angle is  cos(150°) = -   then.\r\n" );
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document.write( "(3)  Now apply the cosine rule\r\n" );
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document.write( "         the length of the longer diagonal =  =  = 70.55 feet.     ANSWER\r\n" );
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