document.write( "Question 762860: Easy Word Problem
\n" ); document.write( "Two rectangles have the same area of 120m^2. the difference of their length 5m and their breadth is 4m find their sides
\n" ); document.write( "Please solve it in manner like let........be x
\n" ); document.write( "and let...........be y
\n" ); document.write( "Please Help Thank you in advance
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Algebra.Com's Answer #464258 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the rectangles r1 and r2
\n" ); document.write( "Call the breadth of r1 \"+x+\"
\n" ); document.write( "Call the length of r1 \"+y+\"
\n" ); document.write( "--------------------
\n" ); document.write( "The breadth of r2 = \"+x+%2B+4+\"
\n" ); document.write( "The length of r2 = \"++y+-+5+\"
\n" ); document.write( "( if I made the signs the same, the area of r2
\n" ); document.write( "would be greater than the area of r1 )
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+120+=+x%2Ay+\"
\n" ); document.write( "(2) \"+120+=+%28+x%2B4+%29%2A%28+y+-5+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+x%2Ay+%2B+4y+-+5x+-+20+=+120+\"
\n" ); document.write( "(2) \"+x%2Ay+%2B+4y+-+5x+=+140+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+y+=+120%2Fx+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+x%2A%28120%2Fx%29+%2B+4%2A%28120%2Fx%29+-+5x+=+140+\"
\n" ); document.write( "(2) \"+120+%2B+4%2A%28120%2Fx%29+-+5x+=+140+\"
\n" ); document.write( "(2) \"+4%2A%28120%2Fx%29+-+5x+=+20+\"
\n" ); document.write( "(2) \"+480%2Fx+-+5x+=+20+\"
\n" ); document.write( "(2) \"+480+-+5x%5E2+=+20x+\"
\n" ); document.write( "(2) \"+5x%5E2+%2B+20x+=+480+\"
\n" ); document.write( "(2) \"+x%5E2+%2B+4x+=+96+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "(2) \"+x%5E2+%2B+4x+%2B+%284%2F2%29%5E2+=+96+%2B+%284%2F2%29%5E2+\"
\n" ); document.write( "(2) \"+x%5E2+%2B+4x+%2B+4+=+96+%2B+4+\"
\n" ); document.write( "(2) \"+%28+x+%2B+2+%29%5E2+=+100+\"
\n" ); document.write( "(2) \"+%28x+%2B+2+%29%5E2+=+10%5E2+\"
\n" ); document.write( "(2) \"+x+%2B+2+=+10+\"
\n" ); document.write( "(2) \"+x+=+8+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+120+=+x%2Ay+\"
\n" ); document.write( "(1) \"+y+=+120%2F8+\"
\n" ); document.write( "(1) \"+y+=+15+\"
\n" ); document.write( "----------------
\n" ); document.write( "And, also,
\n" ); document.write( "(2) \"+120+=+%28+x%2B4+%29%2A%28+y+-5+%29+\"
\n" ); document.write( "\"+x+%2B+4+=+12+\"
\n" ); document.write( "\"+y+-+5+=+10+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Rectangle r1 has dimensions 8 and 15
\n" ); document.write( "Rectangle r2 has dimensions 12 and 20
\n" ); document.write( "----------
\n" ); document.write( "check:
\n" ); document.write( "\"+A1+=+8%2A15+\"
\n" ); document.write( "\"+A1+=+120+\"
\n" ); document.write( "and
\n" ); document.write( "\"+A2+=+12%2A10+\"
\n" ); document.write( "\"+A2+=+120+\"
\n" ); document.write( "OK
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