document.write( "Question 1016040: Julio constructed a platform for a bean bag toss game. The plans for the original platform had dimensions of 3 feet by 5 feet. He made his platform larger by adding x feet to the length and width. The area of the new platform is 35 square feet. Write a quadratic equation that represents the area of his platform, and find the dimensions of the platform Julio made. \n" ); document.write( "
Algebra.Com's Answer #632421 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "x=amount added to length and width
\n" ); document.write( ".
\n" ); document.write( "L=length=5ft+x; W=width=3ft+x
\n" ); document.write( ".
\n" ); document.write( "\"LW=35ft%5E2\"
\n" ); document.write( "\"%285ft%2Bx%29%283ft%2Bx%29=35ft%5E2\"
\n" ); document.write( "\"15ft%5E2%2B8ft%2Bx%5E2=35ft%5E2\"
\n" ); document.write( "\"x%5E2%2B8xft%2B15ft%5E2=35ft%5E2\"
\n" ); document.write( "\"x%5E2%2B8xft-20ft%5E2=0\" . This equation represents new area
\n" ); document.write( "\"%28x%2B10%29%28x-2%29=0\"
\n" ); document.write( "\"x%2B10=0\" \"OR\" \"x-2=0\"
\n" ); document.write( "\"x=-10\" \"OR\" \"x=2\"
\n" ); document.write( ".
\n" ); document.write( "He added 2 feet to each dimension
\n" ); document.write( ".
\n" ); document.write( "L=5ft+x=5ft+2ft=7ft
\n" ); document.write( "W=3ft+x=3ft+2ft=5ft
\n" ); document.write( ".
\n" ); document.write( "ANSWER: The new dimensions were 7 feet by 5 feet.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "\"LW=35ft%5E2\"
\n" ); document.write( "\"%287ft%29%285ft%29=35ft%5E2\"
\n" ); document.write( "\"35ft%5E2=35ft%5E2\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );