document.write( "Question 309903: a picture is 1 inch longer than it is wide. It is put into a frame 1/2 inch wide. If the area of the frame is 8 inches by itself, how big is the picture? \n" ); document.write( "
Algebra.Com's Answer #221668 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a picture is 1 inch longer than it is wide. It is put into a frame 1/2 inch wide. If the area of the frame is 8 in^2 by itself, how big is the picture? \n" ); document.write( "----------------- \n" ); document.write( "Draw the picture of a rectangle inside a rectangle. \n" ); document.write( "---------------------------------- \n" ); document.write( "Picture dimentions:, W and L where L = W+1 \n" ); document.write( "Area of Picture only : WL \n" ); document.write( "----- \n" ); document.write( "Picture with frame dimentions: W + 1 and L+1 \n" ); document.write( "Area of picture with frame : (W+1)(L+1) \n" ); document.write( "--------------- \n" ); document.write( "Equations \n" ); document.write( "Total area - picture area = 8 sq. in. \n" ); document.write( "(W+1)(L+1) - WL = 8 \n" ); document.write( "L + W + 1 = 8 \n" ); document.write( "L+W = 7 \n" ); document.write( "--- \n" ); document.write( "Substitute W+1 for \"L \n" ); document.write( "W+1 + W = 7 \n" ); document.write( "2W = 6 \n" ); document.write( "W = 3 in (width of the picture) \n" ); document.write( "L = W+1 = 4 in (length of the picture) \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================================= \n" ); document.write( " |