The diagram shows a shape made from 6 identical squares - Edexcel - GCSE Maths - Question 11 - 2021 - Paper 1

To find the length of one side of the square, we start with the total area of the shape, which is 5406 cm². Since there are 6 squares, we can calculate the area of one square by dividing the total area by the number of squares:

$ext{Area of one square} = \frac{5406}{6} = 901 \text{ cm}^2$

Next, to find the length of one side (s) of the square, we use the formula for the area of a square, which is:

$s^2 = ext{Area}$

Taking the square root gives:

$s = \sqrt{901} \approx 30.0 \text{ cm}$

Rounding to the nearest whole number, the estimated length of one side of each square is 30 cm.