document.write( "Question 108294: the area of a rectangular field is 12,750 square yards. The width is 150 feet. What is the length of the field in feet. \n" ); document.write( "
Algebra.Com's Answer #78908 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! You need to work this problem all in one set of units. \n" ); document.write( ". \n" ); document.write( "Since a square yard is 3 feet by 3 feet, a square yard contains 9 square feet. \n" ); document.write( ". \n" ); document.write( "So if you multiply the 12,750 square yards of the field by 9 square feet per square yard, \n" ); document.write( "you find that the field contains 12,750 * 9 = 114,750 square feet. \n" ); document.write( ". \n" ); document.write( "But the area of the field is found by taking the product of its length (L) times its width (W) \n" ); document.write( "to get: \n" ); document.write( ". \n" ); document.write( "L * W = Area \n" ); document.write( ". \n" ); document.write( "But you know that the area is 114,750 square feet and the width of the field is 150 feet. \n" ); document.write( "Substitute these values into the equation and you get: \n" ); document.write( ". \n" ); document.write( "L * 150 = 114,750 \n" ); document.write( ". \n" ); document.write( "Solve for L by dividing both sides by 150 to get: \n" ); document.write( ". \n" ); document.write( "L = 114,750/150 = 765 feet \n" ); document.write( ". \n" ); document.write( "So the length of the field is 765 feet. \n" ); document.write( ". \n" ); document.write( "You can check this by multiplying 765 feet by 150 feet then divide that product by 9 square feet \n" ); document.write( "per square yard and see if the answer isn't the 12,750 square yards the problem said it should be. \n" ); document.write( "If you do the math you will find out that it is 12,750 square yards, so the answer of 765 ft \n" ); document.write( "for the length L is correct. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( " \n" ); document.write( " |