Permutations and combinations - is square a rectangle?

Click For Summary
In the discussion about permutations and combinations, the focus is on determining the number of non-congruent rectangles, which includes squares. It is established that a square qualifies as a special type of rectangle. The conversation acknowledges that while this classification is widely accepted, there may be differing opinions from those who created the problem. The inclusion of squares in the count of rectangles is emphasized as essential for accurate problem-solving. Ultimately, the classification of squares as rectangles is affirmed.
AdityaDev
Messages
527
Reaction score
33
I was going through a p and c problem where I had to find the number of non congruent RECTANGLES.
Answer includes number of squares as well.
SHOULD SQUARE BE TAKEN AS A RECTANGLE?
 
Mathematics news on Phys.org
Yes, a square is a special kind of rectangle.

Of course, I cannot guarantee that whoever set this problem will agree with me!
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

High School Combinatorics and Magic squares
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solving a Primary Math Problem: Find the Areas of A & C
  • · Replies 10 ·
Replies
10
Views
2K
High School Compensating for a bias - a simple geometry/algebra problem:
  • · Replies 1 ·
Replies
1
Views
2K
Finding Area Under Curve: Rectangles vs Trapezia
  • · Replies 5 ·
Replies
5
Views
2K
High School Optimizing permutations of hero traits in a computer game
  • · Replies 2 ·
Replies
2
Views
1K
High School Simple Combo/Permute calculation
  • · Replies 45 ·
2
Replies
45
Views
4K
Undergrad How Does Special Relativity Affect Perceptions of Simultaneity?
  • · Replies 32 ·
2
Replies
32
Views
2K
High School Complete the square, yes, but what does it mean?
  • · Replies 19 ·
Replies
19
Views
3K
MHB Square Number Pairs from 1-50: Counting Rules
  • · Replies 1 ·
Replies
1
Views
1K
MHB How Can You Calculate the Area of Shaded Regions in Complex Geometric Figures?
  • · Replies 2 ·
Replies
2
Views
2K