document.write( "Question 1167764: A rectangular swimming pool is 3 times as long as it is wide. It is surrounded by a cement walk 1 ft wide. The area of the walk is 36 ft2. Find the dimensions of the pool. \n" ); document.write( "
Algebra.Com's Answer #792367 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Draw this \n" ); document.write( "pool is x feet wide and 3x feet long \n" ); document.write( "the width of pool and walk together is x+2 feet and the length is 3x+2 feet. \n" ); document.write( "That area is 3x^2+8x+4 ft^2 \n" ); document.write( "The area of the pool is 3x^2 ft^2 \n" ); document.write( "the area of the walk is the difference or 8x+4 ft^2=36 ft^2 \n" ); document.write( "Therefore, x=4 feet. \n" ); document.write( "So the pool is 4 feet wide and 12 feet long or 48 ft^2 \n" ); document.write( "pool and walk are 6 feet wide and 14 feet long or 84 ft^2 \n" ); document.write( "The difference between those two must be the area of the walk, which is 36 ft^2\r \n" ); document.write( "\n" ); document.write( "The answer is 4 x 12 units feet for the pool. \n" ); document.write( " |