document.write( "Question 28542: A square fountain has an area of 16 square feet. A flower garden is planted around the fountain. If the garden extends 8 feet beyond the fountain, what is the area of the garden. \n" ); document.write( "
Algebra.Com's Answer #15552 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You have a circle inside a circle. \n" ); document.write( "The inner circle has area =(pi)r^2=16 \n" ); document.write( "r^2=16/(pi) \n" ); document.write( "r=4/sqrt(pi) \n" ); document.write( "The outer circle has radius \"8+[4/sqrt(pi)] \n" ); document.write( "The whole outer circle has area (pi)[8+4/sqrt pi]^2 \n" ); document.write( "=pi[64+(64/sqrt pi) + (16/pi)]=64pi +64 sqrt pi + 16 \n" ); document.write( "Subtract the inner area from the whole area to get the \n" ); document.write( "area of the garden, as follows: \n" ); document.write( "64pi+64sqrt(pi)+16 - 16 = 64pi+64sqrt(pi) is the area of the garden. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |