A square has a side 5 centimeters shorter than the side of a second square. The area of the larger square is four times the area of the smaller square. Find the side of each square	Choose one.
A) 5 B) 6 C) 7 D) 8 E) 9
Let x be the side of the smaller square and y be the side of the larger square. The statement "A square has a side 5 centimeters shorter than the side of a second square" may be formulated by   x = y - 5   The area of the smaller square is equal to x 2 = (y - 5) 2 and the area of the larger square is equal to y 2   The statement "the area of the larger square is four times the area of the smaller square" may be formulated by   y 2 = 4 (y - 5) 2   Write the above equation so that the right side is equal to 0   y 2 - 4 (y - 5) 2 = 0   The left side is made up of the difference of two squares and can be easily factored as follows   [ y - 2 (y - 5) ] [ y + 2 (y - 5) ] = 0   Solve for y to find   y = 10 and y = 10 / 3.   We now use the equation x = y - 5 to find x   y = 10 and x = 5   For the second solution y = 10 / 3, x is negative and cannot be accepted as the length of the side of a square must be positive.   5nswer 5
<result>A</result>
A square has a side 5 centimeters shorter than the side of a second square. The area of the larger square is four times the area of the smaller square. Find the side of each square