document.write( "Question 134781This question is from textbook Algebra Structure and Method
\n" ); document.write( ": I have been working on this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Area Problems
\n" ); document.write( "solve.
\n" ); document.write( "A corner lot originally was square lost 185m^2 of area when one of the adjacent streets was widened by 3m and the other was widened by 5m. Find the new dimensions of the lot.
\n" ); document.write( "

Algebra.Com's Answer #98618 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A corner lot originally was square lost 185m^2 of area when one of the adjacent streets was widened by 3m and the other was widened by 5m. Find the new dimensions of the lot.
\n" ); document.write( ":
\n" ); document.write( "Let x = original dimension of the square lot
\n" ); document.write( "Then x^2 = the area of the original lot
\n" ); document.write( ":
\n" ); document.write( "The new dimensions: (x-3) by (x-5)
\n" ); document.write( ":
\n" ); document.write( "New lot area = original lot area - 185 sq/m
\n" ); document.write( "(x-3)*(x-5) = x^2 - 185
\n" ); document.write( ":
\n" ); document.write( "x^2 - 8x + 15 = x^2 - 185
\n" ); document.write( ":
\n" ); document.write( "x^2 - x^2 - 8x = -185 - 15
\n" ); document.write( ":
\n" ); document.write( "-8x = -200
\n" ); document.write( ":
\n" ); document.write( "x = 200/8
\n" ); document.write( ":
\n" ); document.write( "x = 25 meters the diminsion of the original lot
\n" ); document.write( ":
\n" ); document.write( "New dimensions:
\n" ); document.write( "25 - 3 = 22 meters
\n" ); document.write( "by
\n" ); document.write( "25 - 5 = 20 meters
\n" ); document.write( ":
\n" ); document.write( "Check solution; find the area of both:
\n" ); document.write( "25 * 25 = 625
\n" ); document.write( "22 * 20 = 440
\n" ); document.write( "--------------
\n" ); document.write( "differs = 185 \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );