document.write( "Question 548613: A rectangular deck for a recreation center is 21 feet long by 20 feet wide. Its area is to be halved by subtracting the same distance x from the length and width. Write and solve an equation to find the value of x. What are the decks new dimensions? \n" ); document.write( "
Algebra.Com's Answer #357107 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Length = 21 \n" ); document.write( "width =20 \n" ); document.write( "area = 420 sq. ft\r \n" ); document.write( "\n" ); document.write( "half the area = 210 sq.ft\r \n" ); document.write( "\n" ); document.write( "(21-x)(20-x)=210 \n" ); document.write( "420-21x-20x+x^2=210\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-41x+210=0 \n" ); document.write( "x^2-35x-6x+210=0\r \n" ); document.write( "\n" ); document.write( "x(x-35)-6(x-35)=0\r \n" ); document.write( "\n" ); document.write( "(x-35)(x-6) \n" ); document.write( "x=6 \n" ); document.write( "14&15 ft \n" ); document.write( " |