document.write( "Question 242827: The rectangle ABCD has sides that are parallel to the coordinate axes. It is three times as wide as it is tall, and its perimeter is 56 units.
\n" ); document.write( "Find the length and width of ABCD. Given the information D=(9,2), find the coordinates for points A, B and C. \n" ); document.write( "
Algebra.Com's Answer #177794 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
The question asks you to find the length and width of a rectangle that is 3 times as wide as it is tall.
\n" ); document.write( "Since it is a rectangle and parallel to the coordinate axis, we are confident in defining:
\n" ); document.write( "w = width
\n" ); document.write( "h = height = 3w
\n" ); document.write( "We will not use 'h' in the solution proper, but instead we will use w and 3w to keep to one unknown.
\n" ); document.write( "...
\n" ); document.write( "We are told that the perimeter = 56.
\n" ); document.write( "We know the perimeter = 2w + 2h for all rectangles.
\n" ); document.write( "Substituting 3w for h, we have
\n" ); document.write( "56 = 2w + 2(3w)
\n" ); document.write( "56 = 2w + 6w
\n" ); document.write( "56 = 8w
\n" ); document.write( "7 = w
\n" ); document.write( "w = 7
\n" ); document.write( "Substituting for w, we have
\n" ); document.write( "h = 3w = 3(7) = 21
\n" ); document.write( "...
\n" ); document.write( "Now we know that point D is at (9,2), which is one corner.
\n" ); document.write( "Assuming it is the lower right corner, the coordinates can be calculated.
\n" ); document.write( "A = (9-w, 2) = (2,2)
\n" ); document.write( "B = (9-w, 2+h)= (2,23)
\n" ); document.write( "C = (9, 2+h) = (9, 23) \n" ); document.write( "
\n" );