document.write( "Question 250872: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
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document.write( "A rectangular window is 10 inches longer than it is wide. If the area of the window is 1200 square inches, find the length and the width.
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Algebra.Com's Answer #182733 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Solve using the five-step problem-solving process. \n" ); document.write( " Show all steps necessary to arrive at your solution. \n" ); document.write( "A rectangular window is 10 inches longer than it is wide. \n" ); document.write( " If the area of the window is 1200 square inches, find the length and the width. \n" ); document.write( ": \n" ); document.write( "Let x = the width of the window \n" ); document.write( "then \n" ); document.write( "(x+10) = the length \n" ); document.write( ": \n" ); document.write( "Area: L * W, therefore \n" ); document.write( "x(x+10) = 1200 \n" ); document.write( "x^2 + 10x = 1200 \n" ); document.write( "x^2 + 10x - 1200 = 0 \n" ); document.write( "Factor \n" ); document.write( "(x + 40)(x-30) = 0 \n" ); document.write( "Positive solution \n" ); document.write( "x = 30 inches is the width \n" ); document.write( ": \n" ); document.write( "The width is 30\" and the length is 10\" more, 40\" \n" ); document.write( ": \n" ); document.write( "Check by finding the area: 30 * 40 = 1200 sq/in \n" ); document.write( " |