document.write( "Question 192500: Tashin Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters and the new total area of the garden will be 144 square meters. Find the lengh of the original garden. \n" ); document.write( "
Algebra.Com's Answer #144522 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Tashin Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters and the new total area of the garden will be 144 square meters. Find the lengh of the original garden. \n" ); document.write( ". \n" ); document.write( "Let x = length of original garden \n" ); document.write( "then \n" ); document.write( "(x+7)(x+7) = 144 \n" ); document.write( "x^2 + 14x + 49 = 144 \n" ); document.write( "x^2 + 14x - 95 = 0 \n" ); document.write( ". \n" ); document.write( "Factoring the left side: \n" ); document.write( "(x+19)(x-5) = 0 \n" ); document.write( "x = {-19, 5} \n" ); document.write( "We can toss out the negative solution leaving: \n" ); document.write( "x = 5 meters (measure of one side of original garden) \n" ); document.write( " |