document.write( "Question 127340: Not sure if this came from a textbook or not. The problem has been cut and pasted onto a blank sheet of paper. The problem says: The perimeter of a rectangle is 64cm. The length of the rectangle is 2cm more than 1 and 1/2 times the width. Find the dimensions of the rectangle.
\n" ); document.write( "Underneath this, the teacher has written:\r
\n" ); document.write( "\n" ); document.write( "Find and write the two equations.
\n" ); document.write( "Solve the system by graphing.\r
\n" ); document.write( "\n" ); document.write( "Your help will be greatly appreciated. \n" ); document.write( "
Algebra.Com's Answer #93290 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The perimeter of a rectangle is 64cm. The length of the rectangle is 2cm more than 1 and 1/2 times the width. Find the dimensions of the rectangle.
\n" ); document.write( "Underneath this, the teacher has written:
\n" ); document.write( "Find and write the two equations.
\n" ); document.write( "Solve the system by graphing.
\n" ); document.write( ":
\n" ); document.write( "Since we will be graphing
\n" ); document.write( "Let x = the width
\n" ); document.write( "Let y = the length
\n" ); document.write( ":
\n" ); document.write( "The 1st equation is is easy, the perimeter equation:
\n" ); document.write( "2x + 2y = 64
\n" ); document.write( "Simplify, divide equation by 2
\n" ); document.write( "x + y = 32
\n" ); document.write( "Put it in the general (y=) form for graphing
\n" ); document.write( "y = 32 - x
\n" ); document.write( "Plot it for x = 0 and x = 4
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( " 0 |32
\n" ); document.write( " 4 |28
\n" ); document.write( ":
\n" ); document.write( "Get the 2nd equation from the statement:
\n" ); document.write( "\"The length of the rectangle is 2cm more than 1 and 1/2 times the width.\"
\n" ); document.write( " y = 1.5x + 2
\n" ); document.write( "Plot this for x = 0 and x = 4
\n" ); document.write( " x | y
\n" ); document.write( "--------
\n" ); document.write( " 0 | 2
\n" ); document.write( " 4 | 8
\n" ); document.write( ":
\n" ); document.write( "your graph should look like this:
\n" ); document.write( " \"+graph%28+300%2C+200%2C+-10%2C+20%2C+-10%2C+40%2C+32-x%2C+1.5x%2B2%29+\"
\n" ); document.write( ":
\n" ); document.write( "With a calibrated eyeball you can see they intersect at x=12, y=20 and this
\n" ); document.write( "is solution to the system
\n" ); document.write( ";
\n" ); document.write( "You can confirm our solution by substitution in both equations
\n" ); document.write( "2(12) + 2(20) = 64
\n" ); document.write( "and
\n" ); document.write( "20 = 1.5(12) + 2
\n" ); document.write( ":
\n" ); document.write( "Did you follow what went on here? Any questions? \n" ); document.write( "
\n" );