document.write( "Question 1014234: A road 2m broad surrounds a square park 4225 m^2 in area. Find the cost of paving the marbles each of 25 cm by 8 cm in size on the road at Rs. 50 per piece of marble. \n" ); document.write( "
Algebra.Com's Answer #630544 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the area of the square park is 4225 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of that and you get each side of the park is 65 meters long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the road surrounding it is 2 meters wide.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you increase the length of each side by 4 meters (2 on each end), then the length of the new side will be equal to 69 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this new side will include the width of the road on each end.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "square this and you get 69^2 = 4761 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your new area includes the park plus the road.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the area of the park and you get 4761 - 4225 = 536 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the road is 2 meters wide, then the length of this road will be 536 / 2 = 268 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have a road that, if you stretched it out in a straight line, would be equal to 2 meters wide by 268 meters long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your marble tiles are 8 centimeters wide by 25 centimeters long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "convert that to meters and your marble tiles are .08 meters wide by .25 meters long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take 268 meters long and divide that by .25 meters long and you get 1072 stones long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take 2 meters wide and divide that by .08 meters wide and you get 25 stones wide.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1072 stones long by 25 stones wide = 26,800 stones in total.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you could have solved it the following way as well.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the width of the park is 65 meters. \n" ); document.write( "add 2 meters on each end to get a width of 69 meters. \n" ); document.write( "the road is 2 meters wide, so the road along the width and beyond by 2 meters on each side is equal to 2 meters wide by 69 meters long. \n" ); document.write( "your tiles are .08 meters wide by .25 meters long. \n" ); document.write( "2/.08 = 25 stones wide. \n" ); document.write( "69/.25 = 276 stones long. \n" ); document.write( "total stones on the lower road is 25 * 276 = 6900 stones. \n" ); document.write( "same on the upper road gets you a total of 6900 * 2 = 13,800 stones required for the upper and lower road.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "on the left side of the park, your road will be 2 meters wide by 65 meters long. \n" ); document.write( "2 meters wide / .08 meters wide = 25 stones wide. \n" ); document.write( "65 meters long / .25 meters long = 260 stones long. \n" ); document.write( "total stones required for the left road is 25 * 260 = 6500 stones. \n" ); document.write( "add the same amount of stones for the right road and you get 2 * 6500 = 13,000 stones for the left and right road.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "lower and upper road plus left and right road = 13,800 + 13,000 = 26,800 stones.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get the same number of stones either way.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see the following diagram for what i mean.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the cost is 50 per stone, then your total cost for the stones will be 26,800 * 50 = 1,340,000 rs. \n" ); document.write( " \n" ); document.write( " |