document.write( "Question 120441This question is from textbook Algebra I
\n" ); document.write( ": the perimeter of the rectangle is 34 cm. the perimeter of teh triangle is 30 cm. Find the values of m and n.\r
\n" ); document.write( "\n" ); document.write( "Shown rectangle with short side of m and long side n.
\n" ); document.write( "Right triangle with short side m, base n, and hypotenuse n+1.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #88396 by ankor@dixie-net.com(22740)\"\" \"About 
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the perimeter of the rectangle is 34 cm. the perimeter of teh triangle is 30 cm. Find the values of m and n.
\n" ); document.write( "Shown rectangle with short side of m and long side n.
\n" ); document.write( "Right triangle with short side m, base n, and hypotenuse n+1.
\n" ); document.write( ":
\n" ); document.write( "Using the given information:
\n" ); document.write( "Rectangle perimeter:
\n" ); document.write( "2n + 2m = 34
\n" ); document.write( ":
\n" ); document.write( "Triangle perimeter:
\n" ); document.write( "n + m + (n+1) = 30
\n" ); document.write( "2n + m = 30 - 1
\n" ); document.write( "2n + m = 29
\n" ); document.write( ":
\n" ); document.write( "Use elimination from the two equations
\n" ); document.write( "2n + 2m = 34
\n" ); document.write( "2n + m = 29
\n" ); document.write( "----------------subtracting eliminates n, find m
\n" ); document.write( "0n + m = 5
\n" ); document.write( ":
\n" ); document.write( "Find n using the triangle perimeter equation:
\n" ); document.write( "2n + m = 29
\n" ); document.write( "2n + 5 = 29
\n" ); document.write( "2n = 29 - 5
\n" ); document.write( "2n = 24
\n" ); document.write( "n = 12
\n" ); document.write( ":
\n" ); document.write( "Check solution using the rectangle perimeter:
\n" ); document.write( "2(12) + 2(5) = 34
\n" ); document.write( ":
\n" ); document.write( "Did this make sense to you? Any questions?
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