Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
25th August, 2024

Let a be the radius of the circle.


b²+2² = a²

b = √(a²-4) units.


c = 5+2

c = 7 units.


d = 3a units.


It implies;


Calculating a.


(3a)² = √(a²-4)²+7²

9a² = a²-4+49

8a² = 45

a = √(45/8)

a = 2.3717082451 units.

Again, a is the radius of the circle.


BD = 4a

BD = 4*2.3717082451

BD = 9.4868329805 units.

BD is the diagonal of a square.


It implies;


2e² = 9.4868329805²

e² = ½(90) 

e² = 45 units.

Where e² is the area of the square.

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