Big Squares in a Grid
Difficulty: Medium · Topics: Discrete Mathematics, Counting Principle, Geometry
The square ABCD with side 5 units is divided into 25 equal unit squares.
graph "x":[-0.7,5.7],"y":[-0.7,5.7],"axes":false,"ink":true,"label":"Square ABCD divided into a 5 by 5 grid of unit squares","items":["type":"line","from":[0,0],"to":[5,0],"ink":true,"width":1.2,"type":"line","from":[0,1],"to":[5,1],"ink":true,"width":1.2,"type":"line","from":[0,2],"to":[5,2],"ink":true,"width":1.2,"type":"line","from":[0,3],"to":[5,3],"ink":true,"width":1.2,"type":"line","from":[0,4],"to":[5,4],"ink":true,"width":1.2,"type":"line","from":[0,5],"to":[5,5],"ink":true,"width":1.2,"type":"line","from":[0,0],"to":[0,5],"ink":true,"width":1.2,"type":"line","from":[1,0],"to":[1,5],"ink":true,"width":1.2,"type":"line","from":[2,0],"to":[2,5],"ink":true,"width":1.2,"type":"line","from":[3,0],"to":[3,5],"ink":true,"width":1.2,"type":"line","from":[4,0],"to":[4,5],"ink":true,"width":1.2,"type":"line","from":[5,0],"to":[5,5],"ink":true,"width":1.2,"type":"point","at":[0,0],"label":"A","anchor":"sw","ink":true,"type":"point","at":[5,0],"label":"B","anchor":"se","ink":true,"type":"point","at":[5,5],"label":"C","anchor":"ne","ink":true,"type":"point","at":[0,5],"label":"D","anchor":"nw","ink":true]
How many squares in the figure have an area of at least 4 square units?