document.write( "Question 168190: Use given information to find length of all sides. Parallelograms perimeter = 48inches. side AB is 5 inches less than side BC. The long sides are AB and CD and the short sides are DA and BC. I have no idea where to start other than BC-AB=48 \n" ); document.write( "
Algebra.Com's Answer #124026 by 303795(602)\"\" \"About 
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There seems to be an error on the problem as it is written if AB is the long side and it is 5 shorter than the short side.\r
\n" ); document.write( "\n" ); document.write( "The general idea is to draw the parallelogram first and label all the vertices. Define the length of the short side to be x inches long so write x alongside each of the two shorter sides. The longer side is 5 inches longer than a short side so it will be x + 5 inches long. Mark in the lengths of the two long sides.\r
\n" ); document.write( "\n" ); document.write( "To find the perimeter of the shape add up each of the sides. This will give x + (x + 5) + x + (x + 5) which you already know must equal 48.
\n" ); document.write( "\"+x+%2B+%28x+%2B+5%29+%2B+x+%2B+%28x+%2B+5%29+=+48\"
\n" ); document.write( "\"+x+%2B+x+%2B+5+%2B+x+%2B+x+%2B+5+=+48\"
\n" ); document.write( "\"+4x+%2B+10+=+48\"
\n" ); document.write( "\"+4x+=+38\"
\n" ); document.write( "\"+x+=+9.5\"
\n" ); document.write( "This means that the short sides are 9.5 inches long and the longer sides are 5 inches longer ie 14.5 inches. Check to make sure that the sides give a total perimeter of 48 inches.
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