document.write( "Question 125960: If the sides of a square are decreased by 2, then the area is decreased by 36. what were the dimensions of the original square? \n" ); document.write( "

Algebra.Com's Answer #92312 by MathLover1(20850) $\"\"$ $\"About$

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$\"A=+a%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A1=+A-36+=+a%5E2+-36\"$ Е..(1)\r
\n" ); document.write( "\n" ); document.write( " $\"A1=+%28a-2%29%5E2\"$ ЕЕЕ..(2)\r
\n" ); document.write( "\n" ); document.write( "From (1) and (2), we have:\r
\n" ); document.write( "\n" ); document.write( " $\"+a%5E2+-36+=+%28a-2%29%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+a%5E2+=++a%5E2-4a+%2B+4+%2B+36\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+cross%28a%5E2%29+=++cross%28a%5E2%29+-4a++%2B+40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+0+=++-4a++%2B+40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+4a++=+40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+highlight%28a++=+10%29\"$ ............the dimensions of the original square\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( " $\"A=+a%5E2\"$
\n" ); document.write( " $\"A=+10%5E2\"$
\n" ); document.write( " $\"A=+100\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"A1=+%2810-2%29%5E2+\"$
\n" ); document.write( " $\"A1=+%288%29%5E2+\"$
\n" ); document.write( " $\"A1=+64+\"$
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"A-36=A1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"100-36=64\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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