document.write( "Question 841273: A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $4.00 per foot and the cost of preparing the soil is $0.60 per ft2, determine the size of the garden that can be enclosed for $560.00. \n" ); document.write( "
Algebra.Com's Answer #506795 by hamsanash1981@gmail.com(151)![]() ![]() ![]() You can put this solution on YOUR website! let the side of the square vegetable garden be a. Area of the garden = a^2 and the enclosed fencing, ie., perimeter = 4a. \n" ); document.write( "Given that cost of fence per foot is $4.00 the total cost of fencing will be 4*4a \n" ); document.write( "= 16a \n" ); document.write( "cost for preparing soil is 0.6 per foot^2 = 0.6*a^2\r \n" ); document.write( "\n" ); document.write( "Total cost that can be enclosed = 560 \n" ); document.write( "then Cost of fencing + cost of perparing soil =560 \n" ); document.write( "16a+0.6a^2 = 560 \n" ); document.write( "multiplying the above by 10/2 \n" ); document.write( "80a + 3a^2 = 2800 \n" ); document.write( "3a^2+80a - 2800 = 0 \n" ); document.write( "factorizing the eqaution we have a = 20\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |