Calculating area blue.
6 - a
b - 2
Cross Multiply.
ab = 12 cm²
c = ½(ab)
c = ½(12)
c = 6 cm²
Therefore, calculating a.
6+½(2a) = ½(2+b)*a
6+a = ½*2a*ab
And
ab = 12 cm²
6+a = ½*2a*12
6+a = 12a
6 = 12a-a
11a = 6
a = (6/11) cm.
And
ab = 12
b = (12/a)
And a = (6/11)
b = 12÷(6/11)
b = 12*(11/6)
b = 22 cm.
Therefore, blue area is;
½*(b+2)*a
= ½(22+2)*(6/11)
= ½*24*(6/11)
= 12*(6/11)
= (72/11) cm²
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