How many squares can you form with the dots?

Problem

How many squares with whole number areas can you form on this 5 x 5 dot array with the dots for corners?

squares on grid problem

 

Solution

Hint 1. The figure below is a 4 x 4 grid. It shows squares you probably did not consider when you jumped right away on an answer. Do they also have whole number areas?

surds

Hint 2. Consider the problem How many squares do you see? and study the solution provided.

2 Comments