document.write( "Question 119836: hi, can you help me with this problem?\r
\n" ); document.write( "\n" ); document.write( "A rectangular parcel of land is 40 ft wide. The length of a diagonal between opposite corners is 18 ft more than the length of the parcel. What is the length of the parcel? (Round the answer to one decimal place.)
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Algebra.Com's Answer #87892 by ankor@dixie-net.com(22740)\"\" \"About 
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A rectangular parcel of land is 40 ft wide. The length of a diagonal between opposite corners is 18 ft more than the length of the parcel. What is the length of the parcel? (Round the answer to one decimal place.)
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\n" ); document.write( "Here's what we know:
\n" ); document.write( "W = 40
\n" ); document.write( "L is unknown
\n" ); document.write( "Diagonal = L + 18
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\n" ); document.write( "Using Pythagorus: a^2 + b^2 = c^2
\n" ); document.write( "Let a = 40
\n" ); document.write( "Let b = L
\n" ); document.write( "Let c = (L+18)
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\n" ); document.write( "40^2 + L^2 = (L+18)^2
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\n" ); document.write( "FOIL (L+18)(L+18)
\n" ); document.write( "1600 + L^2 = L^2 + 36L + 324
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\n" ); document.write( "Arrange equation; L's on the left, numerical values on the right
\n" ); document.write( "L^2 - L^2 - 36L = 324 - 1600
\n" ); document.write( "-36L = -1276
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\n" ); document.write( "L = -1276/-36
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\n" ); document.write( "L = +35.4 ft is the length.
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\n" ); document.write( "Check the solution by finding the hypotenuse:
\n" ); document.write( "h = Sqrt(40^2 + 35.4^2)
\n" ); document.write( "h = Sqrt(1600 + 1253.2)
\n" ); document.write( "h = 53.4 ft which is 18 ft greater than the length
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