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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " \n" ); document.write( " |