document.write( "Question 1085707: A rectangular swimming pool in a resort in Tagaytay City is twice as long as it is wide. A small concrete walkway surrounds the pool. The alkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.
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Algebra.Com's Answer #699777 by addingup(3677)![]() ![]() You can put this solution on YOUR website! L = 2W \n" ); document.write( "walkway = 2 feet. Added to the pool, it makes the outer rectangle. \n" ); document.write( "196 = area of outer rectangle - area inner rectangle (pool) \n" ); document.write( "------------------------------------------- \n" ); document.write( "Outer rectangle: (W+4)(2W+4) = 2W^2+12W+16 \n" ); document.write( "Pool: W*2W = 2W^2 \n" ); document.write( "Walkway: (2W^2+12x+16)-(2W^2) \n" ); document.write( "= 12W+16 \n" ); document.write( "---------------------------------------------- \n" ); document.write( "12W+16 = 196 \n" ); document.write( "12W = 180 \n" ); document.write( "W = 15 \n" ); document.write( "Now you know the width, you can solve for length: \n" ); document.write( "L = 2W = 30 \n" ); document.write( " |