document.write( "Question 351137: This is a mathematics problem which one of my cousin asked me yesterday. He is in grade 4. However, I cannot help him because I am not good in maths.\r
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document.write( "The width of a rectangle is 20 cm more than half the length.
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document.write( "Its area is 4800 sq.cm.
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document.write( "Find its width. \n" );
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Algebra.Com's Answer #250975 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The width of a rectangle is 20 cm more than half the length. \n" ); document.write( "Its area is 4800 sq.cm. \n" ); document.write( "Find its width. \n" ); document.write( "------------------------- \n" ); document.write( "Let the length be \"2x\". \n" ); document.write( "Then the width is \"x+20\". \n" ); document.write( "------------------------------ \n" ); document.write( "Area = length * width \n" ); document.write( "--- \n" ); document.write( "4800 = (2x)(x+20) \n" ); document.write( "4800 = 2x^2+40x \n" ); document.write( "--- \n" ); document.write( "Rearrange to get: \n" ); document.write( "2x^2+40x-4800 = 0 \n" ); document.write( "--- \n" ); document.write( "Divide thru by 2 to get: \n" ); document.write( "x^2 + 20x - 2400 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor to get: \n" ); document.write( "(x-40)(x+60) = 0 \n" ); document.write( "--- \n" ); document.write( "Positive solution: \n" ); document.write( "x = 40 \n" ); document.write( "width = x+20 = 40+20 = 60 ft. \n" ); document.write( "======================= \n" ); document.write( "Comment: That is a pretty tough problem \n" ); document.write( "for a 4th grader. Your cousin must be at \n" ); document.write( "an advanced level in math. Congratulations. \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |