## Realated Questions

Find the number of ordered pairs (x, y) of integers such that 55x

^{2 }+ 2xy + y^{2}= 2007The side of a square is equal to 100 cm. The midpoints of its sides are joined to form a new square. Again, the midpoints of the sides of this new square are joined to form another square. This process is continued indefinitely. Find the sum of the areas of the squares.

3 times BD = 4 times AD and 5 times DC = 12 times AD. BD = 56 – DC. What is the length of ACin the diagram below ?