document.write( "Question 322348: in square ABCD , p is the midpoint of DC and Q is the midpoint of AD. if the area of the quadrilateral QBCP is 15. what is the area of square ABCD ? \n" ); document.write( "
Algebra.Com's Answer #230761 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Let the side of the square equal \"s\".
\n" ); document.write( "The area of QBCP plus the area of triangle ABQ and the area of triangle PDQ equal the area of the square ABCD.
\n" ); document.write( "The area of the triangle is,
\n" ); document.write( "\"A=%281%2F2%29bh\"
\n" ); document.write( "ABQ:\"A1=%281%2F2%29%28s%2F2%29%28s%29=s%5E2%2F4\"
\n" ); document.write( "PDQ:\"A2=%281%2F2%29%28s%2F2%29%28s%2F2%29=s%5E2%2F8\"
\n" ); document.write( "QBCP:\"15\"
\n" ); document.write( "ABCD:\"s%5E2\"
\n" ); document.write( "Put it all together,
\n" ); document.write( "\"s%5E2%2F4%2Bs%5E2%2F8%2B15=s%5E2\"
\n" ); document.write( "\"2s%5E2%2Bs%5E2%2B120=8s%5E2\"
\n" ); document.write( "\"5s%5E2=120\"
\n" ); document.write( "\"s%5E2=24\"
\n" ); document.write( "\"s=2sqrt%286%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );