document.write( "Question 1201954: A rectangle whose length is twice as long as its width is inscribed in a circle of area π. What is the area of the rectangle?\r
\n" );
document.write( "\n" );
document.write( "(A) 2/5
\n" );
document.write( "(B) 4/5
\n" );
document.write( "(C) 8/5
\n" );
document.write( "(D) 5/4
\n" );
document.write( "(E) 5/8 \n" );
document.write( "
Algebra.Com's Answer #836546 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let x be width then 2x =length\r \n" ); document.write( "\n" ); document.write( "Are of circle = pi*r^2 \n" ); document.write( "pi=pir^2\r \n" ); document.write( "\n" ); document.write( "r^2=1\r \n" ); document.write( "\n" ); document.write( "r=1 \n" ); document.write( "d=2 \r \n" ); document.write( "\n" ); document.write( "Apply pythagoras theorem in triangle \n" ); document.write( "x^2+(2x)^2 = 2^2\r \n" ); document.write( "\n" ); document.write( "5x^2=4 \n" ); document.write( "x^2= 4/5 \n" ); document.write( "x=(2)/sqrt(5)\r \n" ); document.write( "\n" ); document.write( "width = (2)/sqrt(5) \n" ); document.write( "length = 4/sqrt(5) \n" ); document.write( "Area of rectangle = 2 * area of triangle\r \n" ); document.write( "\n" ); document.write( "Area of rectangle = 2* 1/2 * 2/sqrt(5) * 4/sqrt(5)\r \n" ); document.write( "\n" ); document.write( "=8/5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |