document.write( "Question 119836: hi, can you help me with this problem?\r
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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.) \n" );
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Algebra.Com's Answer #87892 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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.) \n" ); document.write( ": \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 \n" ); document.write( ": \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) \n" ); document.write( ": \n" ); document.write( "40^2 + L^2 = (L+18)^2 \n" ); document.write( ": \n" ); document.write( "FOIL (L+18)(L+18) \n" ); document.write( "1600 + L^2 = L^2 + 36L + 324 \n" ); document.write( ": \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 \n" ); document.write( ": \n" ); document.write( "L = -1276/-36 \n" ); document.write( ": \n" ); document.write( "L = +35.4 ft is the length. \n" ); document.write( ": \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 \n" ); document.write( " \n" ); document.write( " |