document.write( "Question 1036138: a rectangle has a width of x+9 and its width is x+7. Find the dimensions of the rectangle if its area is 143 square meters. \n" ); document.write( "
Algebra.Com's Answer #650749 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The area of a rectangle is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case, A = 143, L = x+7 and W = x+9. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's plug these expressions in. Then let's solve for x.\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( " \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( " \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( " \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( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The possible solutions are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = x+7 = 4+7 = 11\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = x+9 = 4+9 = 13\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So if x = 4, then the rectangle is 13 meters by 11 meters. Notice how 11*13 = 143\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = x+7 = -20+7 = -13\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = x+9 = -20+9 = -11\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "but having negative side lengths doesn't make much sense. So we ignore the solution x = -20\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The only practical solution is x = 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That leads to the dimensions of the rectangle being 13 meters by 11 meters \n" ); document.write( " |