document.write( "Question 427406: What must happen to each side of a figure in order to have an area that is 25 times larger than the original figure? \n" ); document.write( "
Algebra.Com's Answer #297274 by jorel1380(3719)![]() ![]() You can put this solution on YOUR website! Assuming the figure is rectangular in nature, then both sides have to be increased by a factor of 5. Say we have a rectangle with sides X and Y. Then the area of such a figure would be:\r \n" ); document.write( "\n" ); document.write( "XY = A\r \n" ); document.write( "\n" ); document.write( "Multiplying both X and Y by 5, we get:\r \n" ); document.write( "\n" ); document.write( "(5X)(5Y) = 25(XY) = 25 A.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Similarly, if the figure is a circle, we multiply the radius by 5. \r \n" ); document.write( "\n" ); document.write( "Area = pi*r^2 \n" ); document.write( "25 * Area = pi (5r)^2 \n" ); document.write( "Area * 25 = pi*25(r)^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |