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:

• Total Area = 5406 cm²
• The shape is made up of 6 identical squares, so we first need to calculate the area of one square:

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

Next, we find the length of one side of the square:

$\text{Length of one side} = \sqrt{\text{Area of one square}} = \sqrt{901} \approx 30.0\text{ cm}$

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