The areas and side lengths of the squares are
Length Area
Small 2√2 8
Medium 4√2 32
Large 8√2 128
How to determine the areas and side lengths of the squares
From the question, we have the following parameters that can be used in our computation:
The squares
The side lengths of the squares are calculated using
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the above as a guide, we have the following:
Small square = √[(2 - 0)² + (0 - 2)²] = 2√2
Medium square = √[(4 - 0)² + (0 - 4)²] = 4√2
Large square = √[(8 - 0)² + (0 - 8)²] = 8√2
The areas is the square of the side lengths
So, we have
Small square ares = (2√2)² = 8
Medium square = (4√2) = 32
Large square = (8√2)² = 128