document.write( "Question 1128455: The owners of the rectangular swimming pool want to surround the pool with a crushed-stone border of uniform width. They have enough stone to cover 74 square meters. How wide should they make the border? (Hint: The area of the larger rectangle minus the area of the smaller is the area of the border.)\r
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document.write( "Some more supporting information:
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document.write( "length= 25 + 2w (around the border)
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document.write( "width= 10 + 2w (around the border)\r
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document.write( "length= 25 meters (inside the swimming pool)
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document.write( "width= 10 meters (inside the swimming pool)
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Algebra.Com's Answer #744911 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Your post is uncompleted, since it does not provide input info about the dimensions of the pool.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then you add this info L = 25 m, W = 10 m.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "With this data the solution is as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " (25+2w)*(19+2w) - 25*10 = 74. <<<---=== the area of the border is the difference of areas of two rectangles \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 25*19 + 50w + 38w + 4w^2 - 25*10 = 74\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 4w^2 + 88w - 74 = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2w^2 + 44w - 37 = 0\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "From this point, can you complete the solution on your own ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can use the quadratic formula to solve the last equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Good luck and happy solving !\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle surrounded by a strip\r \n" ); document.write( "\n" ); document.write( " - Cynthia Besch wants to buy a rug for a room \r \n" ); document.write( "\n" ); document.write( " - Problems on a circular pool and a walkway around it\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks for posting your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I edited a bit your last post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I am very glad that you made a step forward after my response and were able to complete the solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your answer is correct, and your post clearly shows that you understand the solution in all details.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Again, I am very glad.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My congratulations !\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |