document.write( "Question 154460: One hundred sixty eight inches of string were used to make these squares, which are all the same size. What is the total area of the ten squares? \n" ); document.write( "
Algebra.Com's Answer #113732 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! For any square, all four sides are equal. \n" ); document.write( "Let x = length of one side of the square \n" ); document.write( ". \n" ); document.write( "Then, the perimeter of each square is: \n" ); document.write( "4x \n" ); document.write( ". \n" ); document.write( "If he has 10 of these squares: \n" ); document.write( "10(4x) = 40x \n" ); document.write( ". \n" ); document.write( "Finally, since he has 168 inches of string: \n" ); document.write( "40x = 168 \n" ); document.write( "x = 168/40 \n" ); document.write( "x = 4.2 inches \n" ); document.write( ". \n" ); document.write( "So, the area of a single square is then: \n" ); document.write( "x^2 \n" ); document.write( "= (4.2)^2 \n" ); document.write( "= 17.64 sq inches \n" ); document.write( ". \n" ); document.write( "And, if he has 10 of these squares: \n" ); document.write( "10*17.64 = 176.4 square inches \n" ); document.write( " \n" ); document.write( " |