document.write( "Question 893712: Two rectangles are similar. The smaller has a length of 8cm and an area of 40cm^2. If the width of the larger rectangle is 10cm, find its area. \n" ); document.write( "
Algebra.Com's Answer #541446 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The larger similar rectangle has linear dimensions k times the smaller rectangle.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Small rectangle, 8 cm by w cm.
\n" ); document.write( "Area, \"8w=40\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Larger rectangle, 8k cm by kw cm.
\n" ); document.write( "Area, \"8k%2Akw\";
\n" ); document.write( "but also is given that \"kw=10\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find two equations with two unknowns!
\n" ); document.write( "\"8w=40\" and \"kw=10\".
\n" ); document.write( "First one gives \"w=40%2F8=5\".
\n" ); document.write( "Using this in the second equation gives \"k%2A5=10\" and therefore \"k=2\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find the requested area for the larger rectangle.
\n" ); document.write( "\"8k%2A10\"
\n" ); document.write( "\"8%2A2%2A10\"
\n" ); document.write( "\"highlight%28160%2Acm%5E2%29\"
\n" ); document.write( "
\n" );