document.write( "Question 1102558: The area of a rectangular wall of a barn is 126 feet.Its length is 4 feet longer than twice its width. Find the length and width of the wall of the barn \n" ); document.write( "
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The area of a rectangular wall of a barn is 126 feet.Its length is 4 feet longer than twice its width. Find the length and width of the wall of the barn
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\n" ); document.write( "\n" ); document.write( "126 ft is not a valid representation of area. 126 square feet (sq ft or ft^2) maybe.\r
\n" ); document.write( "\n" ); document.write( "Area = Length * Width
\n" ); document.write( "126 sq ft = (2W+4)(W)\r
\n" ); document.write( "\n" ); document.write( "2W^2 + 4W - 126 = 0
\n" ); document.write( " W^2 + 2W - 63 = 0
\n" ); document.write( " (W-7)(W+9) = 0
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\n" ); document.write( "W = 7 or W = -9 (discard -9 as Width must be > 0)\r
\n" ); document.write( "\n" ); document.write( "W = 7 —> L = 2(7)+4 = 18
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\n" ); document.write( "Ans: Width is 7ft, Length is 18ft
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\n" ); document.write( "Check (always a good idea, especially for me): 7ft*18ft = 126ft^2 (ok)
\n" ); document.write( "Also, 18 = 2*7 + 4 = 14+4 (ok)
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