document.write( "Question 848465: The sum of the base and height of a rectangle is 69 cm. Find the dimensions for which the area is maximum \n" ); document.write( "
Algebra.Com's Answer #511105 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "The sum of the base and height of a rectangle is 69 cm.
\n" ); document.write( "Find the dimensions for which the area is maximum (When it is a Square)
\n" ); document.write( " b + h = 69cm
\n" ); document.write( " b = h = 69cm/2 = 34.5cm
\n" ); document.write( "the dimensions 34.5cm by 34.5cm
\n" ); document.write( "Note:
\n" ); document.write( " A= b(69-b)
\n" ); document.write( "A = -b^2 + 69 |Completing Square to find Maximum Point
\n" ); document.write( "\"A+=+-%28b+-+%2869%2F2%29%29%5E2+%2B+%2869%2F2%29%5E2\"
\n" ); document.write( " b = 69/2 when A is maxed and h = 69/2 (rectangle a square) \n" ); document.write( "
\n" );