Different Quadrilaterals

Probability Level 2

Find the difference between the number of quadrilaterals in the two pictures below.

Note that a quadrilateral is any shape with 4 sides.

The answer is 14.

1 solution

Jonathan Quarrie
Aug 3, 2017

Image 1

1×1 = 8
1×2 = 4
2×1 = 6
2×2 = 3
3×1 = 4
3×2 = 2
4×1 = 2
4×2 = 1

Total = 30

Image 2

1×1 = 6
1×2 = 2
2×1 = 4
2×2 = 1
3×1 = 2
(3×2 = 0)
4×1 = 1
(4×2 = 0)

Total = 16

$30 - 16 = \boxed{14}$