Question

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

Answer 1

Let’s simplify the situation:
The area of a game board is 126 centimetres by 90cm.

To get the total area let’s multiply:
a = L2 x W2
A= 1262 x 902
A = 11340 cm 2

Now we have the total area of the game board, next is to find the small squares inside the rectangle.

Let’s use prime numbers:
11340 | 2
5670 | 2
2835 | 5
567 | 3
189 | 3
63 | 3
21 | 3
7 | 7
1
=> 11340 = 2^2 x 3^4 x 5 x 7 = 2 ^ 2 x (3^2) ^ 2x5x7 = 18 ^ 2 x 5 x

Thus, the side length is 18 and we will have small squares all in all.