document.write( "Question 175849: The Cutting Edge Frame shop makes a mat by cutting out the inside of a rectangular board. The board is (2x-3) long and (x+8)wide. The cut out portion is (2x-7) long) and (x+4) wide and has an area of (184 in^2). Find the length and width of the original board. I used (2x^2+x-28=184) to find the area of the cut out, and am having trouble solving for x to find the original length and width. I get numbers for x of 10.04 and -10.5 \n" ); document.write( "
Algebra.Com's Answer #130980 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! he Cutting Edge Frame shop makes a mat by cutting out the inside of a rectangular board. The board is (2x-3) long and (x+8)wide. The cut out portion is (2x-7) long) and (x+4) wide and has an area of (184 in^2). Find the length and width of the original board. I used (2x^2+x-28=184) to find the area of the cut out, and am having trouble solving for x to find the original length and width. I get numbers for x of 10.04 and -10.5 \n" ); document.write( ": \n" ); document.write( "That's about right for the equation of: 2x^2 + x - 212 = 0 \n" ); document.write( "only the positive solution is wanted here \n" ); document.write( ": \n" ); document.write( "To find the original length \n" ); document.write( "2x - 3 = \n" ); document.write( "2(10.04) - 3 = 17.08 \n" ); document.write( ": \n" ); document.write( "The original width: \n" ); document.write( "x + 8 = \n" ); document.write( "10.04 + 8 = 18.04 \n" ); document.write( ": \n" ); document.write( "You can check your solution by finding the length and width of the cut-out \n" ); document.write( "Use that to find the area, confirm that it's close to 184 \n" ); document.write( " |