document.write( "Question 112216: A rectangular swimming pool is 4ft longer than it is wide. It is surrounded by a deck 3ft wide. Find the dimensions of the pool if the area of the deck is 264ft^2. \n" ); document.write( "
Algebra.Com's Answer #81867 by checkley71(8403)\"\" \"About 
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THE POOL IS X(X+4)=(X^2+4X) FT^2
\n" ); document.write( "ADDING THE DECK DIMENTIONS WE HAVE:
\n" ); document.write( "(X+6)(X+10)-264=(X^2+4X) WITH THE DECK THE TOTAL DIMENTIONS ARE (X+6) & (X+10)
\n" ); document.write( "X^2+16X+60-264=X^2+4X CANCELLING OUT THE X^2 TERMS WE HAVE:
\n" ); document.write( "16X-4X=204
\n" ); document.write( "12X=204
\n" ); document.write( "X=204/12
\n" ); document.write( "X=17 FT. IS THE WIDTH OF THE POOL.
\n" ); document.write( "THUS THE LENGTH IS 17+4=21 FT.
\n" ); document.write( "AREA OF THE POOL:
\n" ); document.write( "17*21=357 FT^2.
\n" ); document.write( "AREA OF THE POOL PLUS THE DECK:
\n" ); document.write( "(17+6)(21+6)=23*27=621 FT^2
\n" ); document.write( "THE DIFFERENCE IN AREA IS:
\n" ); document.write( "621-357=264 FT^2 WHICH IS THE AREA OF THE DECK.
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