document.write( "Question 269176: The movie screen in the Imax theater in Sydney, Australia is 11349 square feet in area. If the screen is 20 feet longer than it is wide, find the dimensions of the screen \n" ); document.write( "

Algebra.Com's Answer #197289 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = length
\n" ); document.write( "Let $\"b\"$ = width
\n" ); document.write( "given:
\n" ); document.write( " $\"a+=+b+%2B+20\"$
\n" ); document.write( " $\"ab+=+11349\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"%28b+%2B+20%29%2Ab+=+11349\"$
\n" ); document.write( " $\"b%5E2+%2B+20b+=+11349\"$
\n" ); document.write( "I'll solve by completing the square
\n" ); document.write( " $\"b%5E2+%2B+20b+%2B+%2820%2F2%29%5E2+=+11349+%2B+%2820%2F2%29%5E2\"$
\n" ); document.write( " $\"b%5E2+%2B+20b+%2B+100+=+11349+%2B+100\"$
\n" ); document.write( " $\"%28b+%2B+10%29%5E2+=+11449\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"b+%2B+10+=+107\"$
\n" ); document.write( " $\"b+=+97\"$
\n" ); document.write( "And, since
\n" ); document.write( " $\"a+=+b+%2B+20\"$
\n" ); document.write( " $\"a+=+117\"$
\n" ); document.write( "The length is 117 ft and the width is 97 ft
\n" ); document.write( "check:
\n" ); document.write( " $\"ab+=+11349\"$
\n" ); document.write( " $\"97%2A117+=+11349\"$
\n" ); document.write( " $\"11349+=+11349\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );