document.write( "Question 1207821: An artist has 50 inches of oak trim to frame a painting. The frame is to have a border 3 inches wide surrounding the painting. \r
\n" ); document.write( "\n" ); document.write( "(a) If the painting is square, what are its dimensions? What are the dimensions of the frame? \r
\n" ); document.write( "\n" ); document.write( "(b) If the painting is rectangular with a length twice its width, what are the dimensions of the painting? What are the dimensions of the frame?
\n" ); document.write( "

Algebra.Com's Answer #845945 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
An artist has 50 inches of oak trim to frame a painting. The frame is to have a border 3 inches wide surrounding the painting. \r
\n" ); document.write( "\n" ); document.write( "(a) If the painting is square, what are its dimensions? What are the dimensions of the frame? \r
\n" ); document.write( "\n" ); document.write( "(b) If the painting is rectangular with a length twice its width, what are the dimensions of the painting? What are the dimensions of the frame?\r
\n" ); document.write( "\n" ); document.write( "An artist has 50 inches of oak trim to frame a painting. The frame is to have a border 3 inches wide surrounding the painting. \r
\n" ); document.write( "\n" ); document.write( "Let the side of the painting be x inches
\n" ); document.write( "There is a border of 3 inches all round.\r
\n" ); document.write( "\n" ); document.write( "length of the side of frame will be (x+6) ( 3 in on either side.)\r
\n" ); document.write( "\n" ); document.write( "Perimeter is 50 inches\r
\n" ); document.write( "\n" ); document.write( "4(x+6) =50 ( 4 sides)\r
\n" ); document.write( "\n" ); document.write( "4x+24 =50
\n" ); document.write( "4x= 26
\n" ); document.write( "x= 6.5 inches
\n" ); document.write( "Painting is a square with side 6.5 inches and frame with 12.5 inches side\r
\n" ); document.write( "\n" ); document.write( "(b) If the painting is rectangular with a length twice its width, what are the dimensions of the painting? What are the dimensions of the frame?\r
\n" ); document.write( "\n" ); document.write( "Let width of painting be x in. the length will be 2x
\n" ); document.write( "frame dimensions
\n" ); document.write( "x+6 and 2x+6\r
\n" ); document.write( "\n" ); document.write( "perimeter \r
\n" ); document.write( "\n" ); document.write( "2(x+6)+2(2x+6)=50 \r
\n" ); document.write( "\n" ); document.write( "2x+12 +4x+12=50
\n" ); document.write( "6x = 26
\n" ); document.write( "x= 4.33 with
\n" ); document.write( "Length = 2x= 8.66 in
\n" ); document.write( "Add 6 to both sides to get the frame dimensions\r
\n" ); document.write( "\n" ); document.write( " The dimensions of the framed painting are 10.33 inches by 14.67 inches.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );