2015 RVHS MYE Q8

The diagram below shows a pin-board with \(90\) pins on a wooden board. The horizontal and vertical distances between the pins are equal.

A rubber band goes around the pins to form a geometrical shape. Congruent shapes formed with different pins are considered different.

1. Rectangles are formed such that their sides are parallel to that of the board. How many rectangles can be formed?[1]
2. Triangles are formed such that at least one of the sides are parallel to that of the board. How many triangles of area \(16\) square units can be formed?[4]