document.write( "Question 623639: What are the dimensions of a rectangle that has a perimeter of 38 units an an area of 60 square units? \n" ); document.write( "
Algebra.Com's Answer #392314 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! what are the dimension of a rectangle that has a perimeter of 38 units an an area of 60 square units. \n" ); document.write( ": \n" ); document.write( "Perimeter equation \n" ); document.write( "2L + 2W = 38 \n" ); document.write( "simplify divide by 2 \n" ); document.write( "L + W = 19 \n" ); document.write( "W = (19-L) \n" ); document.write( ": \n" ); document.write( "The area equation \n" ); document.write( "L * W = 60 \n" ); document.write( "Replace W with (19-L) \n" ); document.write( "L(19-L) = 60 \n" ); document.write( "19L - L^2 = 60 \n" ); document.write( "0 = L^2 - 19L + 60 \n" ); document.write( "Factors to \n" ); document.write( "(L-4)(L-15) = 0 \n" ); document.write( "Two solutions, but assume L is the larger value \n" ); document.write( "L = 15 units \n" ); document.write( "Find W \n" ); document.write( "W = 19 - 15 \n" ); document.write( "W = 4 units \n" ); document.write( ": \n" ); document.write( "Check the perimeter and the area with these values \n" ); document.write( " |