document.write( "Question 1095561: a pool measuring 12 x 16 meters is surrounded by a path of uniform width. if the are of the pool and the path combined is 480 sq meters what is the width of the path? \n" ); document.write( "
Algebra.Com's Answer #710098 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "This problem can be easily solved MENTALLY without using equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Notice that the difference of dimensions of the pool is 16-12 = 4 meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " If you surround the pool by the path of uniform width, the difference of dimensions of the larger rectangle will be the same 4 meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Now, you are given that the area of the larger rectangle is 480 square meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Hence, all you need to do is to find the decomposition of the number 480 into the product of two numbers that differ in 4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " What are these numbers ? - But of course, 24 and 20.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Then the width of the path is\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |