document.write( "Question 403301: Robert has a rectangular garden that is currently 195 ft^2 and has the perimeter of 56 ft. He wants to increase the size of his garden by 4 ft in both directions. What will be the area of his expanded garden? \n" ); document.write( "
Algebra.Com's Answer #285305 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Robert has a rectangular garden that is currently 195 ft^2 and has the perimeter of 56 ft. \n" ); document.write( " He wants to increase the size of his garden by 4 ft in both directions. What will be the area of his expanded garden? \n" ); document.write( ": \n" ); document.write( "Find the dimensions of the original garden \n" ); document.write( "2L + 2W = 56 \n" ); document.write( "Divide by 2 \n" ); document.write( "L + W = 28 \n" ); document.write( "L = (28-W) \n" ); document.write( ": \n" ); document.write( "L*W = 195 \n" ); document.write( "(28-W) * W = 195 \n" ); document.write( "Arrange as a quadratic equation \n" ); document.write( "-W^2 + 28W - 195 = 0 \n" ); document.write( "Multiply by -1 \n" ); document.write( "W^2 - 28W + 195 = 0 \n" ); document.write( "Factor this to: \n" ); document.write( "(W-15)(W-13) = 0 \n" ); document.write( "two solutions \n" ); document.write( "W = 13 then L = 15 \n" ); document.write( "W = 15 then L = 13 \n" ); document.write( "anyway the rectangle is 15 by 13 \n" ); document.write( ": \n" ); document.write( "Add 4 ft to each dimension \n" ); document.write( "19 * 17 = 323 sq/ft is the area of the expanded garden \n" ); document.write( " \n" ); document.write( " |