document.write( "Question 495698: Please help me solve this question. I dont even know where to start.
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\n" ); document.write( "\n" ); document.write( "the area of a rectangular wall of a barn is 120 sq ft. its length is 8ft longer than twice its width. find the length an width of the wall of the barn.
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Algebra.Com's Answer #336151 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
Area of a rectangle = Length * Width
\n" ); document.write( "\"A+=+area\"
\n" ); document.write( "\"A+=+120\" (given)
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\n" ); document.write( "\"L+=+length\"
\n" ); document.write( "\"W+=+width\"
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\n" ); document.write( "Length is 8 ft greater than twice the width. (given)
\n" ); document.write( "\"L+=+2W+%2B+8%0D%0A.%0D%0AWhat+are+the+length+and+width%3F%0D%0A.%0D%0A%7B%7B%7BL%2AW+=+A\"
\n" ); document.write( "\"L%2AW+=+120\"
\n" ); document.write( "Substitute for L
\n" ); document.write( "\"%282W%2B8%29%2AW+=+120\"
\n" ); document.write( "Multiply
\n" ); document.write( "\"2W%5E2+%2B+8W+=+120\"
\n" ); document.write( "Subtract 120 from both sides
\n" ); document.write( "\"2W%5E2+%2B+8W+-+120+=+0\"
\n" ); document.write( "Divide by 2 to eliminate the coefficient on W^2
\n" ); document.write( "\"W%5E2+%2B+4W+-+60+=+0\"
\n" ); document.write( "Factor
\n" ); document.write( "\"%28W+%2B10%29%28W+-6%29+=+0\"
\n" ); document.write( "So the width is either -10 or 6.
\n" ); document.write( "A negative width is nonsense, so we decide:
\n" ); document.write( "\"W+=+6\"
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\n" ); document.write( "Substitute for W
\n" ); document.write( "\"L%2A6+=+120\"
\n" ); document.write( "Divide both sides by 6
\n" ); document.write( "\"L+=+20\"
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\n" ); document.write( "ALWAYS check your work.
\n" ); document.write( "In this case, you cannot use the area to check because you used it to solve for L.
\n" ); document.write( "Looking back you can find:
\n" ); document.write( "\"L+=+2W+%2B+8\"
\n" ); document.write( "\"2W+%2B+8+=+2%286%29+%2B+8\"
\n" ); document.write( "\"2W+%2B+8+=+20\"
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer:
\n" ); document.write( "Length = 20 ft.
\n" ); document.write( "Width = 6 ft.
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\n" ); document.write( "Done\r
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