document.write( "Question 538628: the perimeter of a rectangle is 60 feet. the ratio of the width to the length is three to seven. find the area of this rectangle \n" ); document.write( "
Algebra.Com's Answer #353221 by Mathpassionate(25)![]() ![]() You can put this solution on YOUR website! the perimeter of a rectangle is 60 feet. the ratio of the width to the length is three to seven. find the area of this rectangle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = Area \n" ); document.write( "W = Width \n" ); document.write( "L = Length \n" ); document.write( "P = Perimeter\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know that:\r \n" ); document.write( "\n" ); document.write( "1) A = L*W \n" ); document.write( "2) P = 2L + 2W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Information provided:\r \n" ); document.write( "\n" ); document.write( "P = 60\r \n" ); document.write( "\n" ); document.write( "W/L = 3/7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Work out the value of W.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = 3L/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, let's substitute W = 3L/7 into the equation P = 2L + 2W\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2L + 2W \n" ); document.write( "P = 2L + 2*(3L/7) \n" ); document.write( "P = 2L + 6L/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know that P = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2L + 6L/7 \n" ); document.write( "60 = 2L + 6L/7 \n" ); document.write( "60 = 14L/7 + 6L/7 \n" ); document.write( "60 = (14L+6L)/7 \n" ); document.write( "60 = (20L)/7 \n" ); document.write( "60*7 = 20L \n" ); document.write( "(60*7)/20 = L \n" ); document.write( "3*7 = L \n" ); document.write( "21 = L\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, let's substitute L =21 into the equation W = 3L/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = 3L/7 \n" ); document.write( "W = 3*21/7 \n" ); document.write( "W = 3*3 \n" ); document.write( "W = 9\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now using:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = L*W \n" ); document.write( "A = 21*9 \n" ); document.write( "A = 189\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is:\r \n" ); document.write( "\n" ); document.write( "The area of the rectangle is 189 Square feet.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you have any questions, please let me know.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |