document.write( "Question 1186303: the length of the garden should be 2 less than 3 times the width. The area should be 16 cm. Find the dimensions & perimeter of the garden. \n" ); document.write( "
Algebra.Com's Answer #817192 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = width \n" ); document.write( "3x-2=length \n" ); document.write( "The area (length times width) is 16: \n" ); document.write( "x(3x-2)=16 \n" ); document.write( "3x^2-2x=16 \n" ); document.write( "3x^2-2x-16=0 \n" ); document.write( "(3x-8)(x+2)=0 \n" ); document.write( "x=8/3 or x=-2 \n" ); document.write( "Reject the negative solution, since it makes no sense for the actual problem. \n" ); document.write( "ANSWERS: \n" ); document.write( "width = x = 8/3 \n" ); document.write( "length = 3x-2 = 8-2=6 \n" ); document.write( "area = (8/3)(6) = 16 \n" ); document.write( "perimeter = twice width plus twice length = 2(8/3)+2(6) = 16/3+12 = 52/3 or 17 1/3 \n" ); document.write( " \n" ); document.write( " |