document.write( "Question 352018: the perimeter of a rectangle plot is 68m and the length of its diagonal is 26m what is the area? \n" ); document.write( "
Algebra.Com's Answer #251480 by robertb(5830)\"\" \"About 
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Perimeter = P = 2L + 2W = 68
\n" ); document.write( "so L + W = 34, or
\n" ); document.write( "W = 34 - L.
\n" ); document.write( "The diagonal is 26, and so by the Pythagorean Theorem,\r
\n" ); document.write( "\n" ); document.write( "\"L%5E2%2BW%5E2=26%5E2\"
\n" ); document.write( "By direct substituion,
\n" ); document.write( "\"L%5E2+%2B+%2834-L%29%5E2=676\"
\n" ); document.write( "\"L%5E2+%2B1156-68L%2BL%5E2=676\"
\n" ); document.write( "\"2L%5E2-68L%2B480=0\"
\n" ); document.write( "\"L%5E2-34L%2B240=0\"
\n" ); document.write( "\"%28L-24%29%28L-10%29=0\"
\n" ); document.write( "This means L = 24, or L =10. Since we usually take the longer value value to be the length, L = 24, and from this W = 10.
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