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)\"\" \"About 
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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
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