Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
17th September, 2024

a = 1+3

a = 4 cm²


b² = 4

b = 2 cm.


0.5*2c = 1

c = unit.


d² = 1²+2²

d = √(5) units.


It implies;


√(5) - 1

1 - e


Cross Multiply.


e = 1/√(5)

e = ⅕√(5) units.


f = d+e

f = √(5)+⅕√(5)

f = ⅕(6√(5)) units.


Again;


√(5) - 1

2 - g


Cross Multiply.


g = ⅕(2√(5)) units.


Therefore, Blue Area is;


Area square with side ⅕(6√(5)) units - Area triangle with height ⅕√(5) units and base ⅕(2√(5)) units - 3 cm²


= (⅕(6√(5)))²-(½*⅕√(5)*⅕(2√(5)))-3

= ⅕(36)-⅕-3

= ⅕(36-1-15)

= ⅕(20)

= 4 cm²

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