Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
5th February, 2024

Let the square side be a.


tan60 = a/b

b = a/tan60 cm.

Where b is BS.


Calculating a.


2b+a = 6

2(a/tan60)+a = 6

a((2/tan60)+1) = 6

a = 6/((2/tan60)+1)

a = 6(2√(3)-3) cm.


Area Shaded STR is;


½(a²)

= ½(6(2√(3)-3))²

= 54(7-4√(3)) cm²

= 3.87702556513 cm²

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