document.write( "Question 1051152: The length and width of an 8cm X 12cm photograph are increased by the same amount in order to double its area. What are the new dimensions? \n" ); document.write( "

Algebra.Com's Answer #666732 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+A+\"$ = the original area
\n" ); document.write( " $\"+A+=+8%2A12+\"$
\n" ); document.write( " $\"+A+=+96+\"$
\n" ); document.write( " $\"+2A+=+192+\"$
\n" ); document.write( "-----------------
\n" ); document.write( " $\"+%28+8+%2B+x+%29%2A%28+12+%2B+x+%29+=+192+\"$
\n" ); document.write( " $\"+96+%2B+12x+%2B+8x+%2B+x%5E2++=+192+\"$
\n" ); document.write( " $\"+x%5E2+%2B+20x+=+96+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+x%5E2+%2B+20x+%2B+%28+20%2F2+%29%5E2+=+96+%2B+%28+20%2F2+%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+20x+%2B+100+=++196+\"$
\n" ); document.write( " $\"+%28+x+%2B+10+%29%5E2+=+14%5E2+\"$
\n" ); document.write( " $\"+x+%2B+10+=+14+\"$
\n" ); document.write( " $\"+x+=+4+\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"+8+%2B+x+=+12+\"$
\n" ); document.write( " $\"+12+%2B+x+=+16+\"$
\n" ); document.write( "The new dimensions are 12 x 16
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+8%2A12+=+96+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+12%2A16+=+192+\"$
\n" ); document.write( " $\"+2%2A96+=+192+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );