How many rectangles does a 3*3 square has? 6^2 10^2 7^2 8^2

acainzar3t2

acainzar3t2

Answered question

2023-01-16

How many rectangles does a 3*3 square has?
6^2
10^2
7^2
8^2

Answer & Explanation

hachatpg9

hachatpg9

Beginner2023-01-17Added 14 answers

Total number of rectangle of size 1×1=3
Total number of rectangle of size 1×2=2
Total number of rectangle of size 1×3=1
Total Number of rectangles in first row = 6
Now, along the first column,
Total number of rectangle of size 1×1=3
Total number of rectangle of size 1×2=2
Total number of rectangle of size 1×3=1
Total Number of rectangles in first column = 6
The total number of rectangle in 3×3 square grid =6×6=6^2
Now 6^2=1^3+2^3+3^3
Total no of rectangles in 3×3 square grid =1^3+2^3+3^3

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