Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
7th January, 2026

Calculating Area Blue Square.


a = ½(8)

a = 4 units.


b² = 4²+2²

b² = 20

b = 2√(5) units.

b is the side length of the white inscribed square.


c² = 4²+8²

c² = 80

c = 4√(5) units.

c is 2b.


Therefore, blue square area is, let it be d².


d² = 2b²

d² = 2(2√(5))²

d² = 2(20)

d² = 40 square units.

Again, d² is the blue square area.

Where d, 2√(10) units is the side length of the blue square.

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