document.write( "Question 31069: The length of a side of one square is 3 inches greater than the length of a side of a second square. If the area of the first square exceeds the area of the second by 51 squares inches, find the lengths of the sides of each square. \n" ); document.write( "
Algebra.Com's Answer #18073 by mukhopadhyay(490) ![]() You can put this solution on YOUR website! Assume that the length of smaller square is x inch \n" ); document.write( "The length of the larger square is then (x+3)\r \n" ); document.write( "\n" ); document.write( "Area of smaller Square = x^2 \n" ); document.write( "Area of larger Square=(x+3)^2\r \n" ); document.write( "\n" ); document.write( "Based on the question,\r \n" ); document.write( "\n" ); document.write( "(x+3)^2 = x^2 + 51 \n" ); document.write( "=>x^2 + 6x + 9 = x^2 + 51 \n" ); document.write( "=>6x = 42 \n" ); document.write( "=>x = 7\r \n" ); document.write( "\n" ); document.write( "Length of the sides of the smaller square is 7 inch and the length of the side of the larger square is 10 inch. \n" ); document.write( " |