MathCastle
Grade 5SuperchallengeThe Coordinate Plane

The Coordinate Plane · Superchallenge problem

The grid points (x,y)(x, y) with xx and yy each a whole number from 00 to 44 form a 55 by 55 square of dots. How many rectangles with an area of exactly 44 square units have all four corners on these dots and sides along grid lines? (Squares count as rectangles.)