A traffic signal board indicating ‘SCHOOL AHEAD’ -Maths 9th

A traffic signal board indicating ‘SCHOOL AHEAD’ -Maths 9th
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Perimeter of the signal board,   2s = a + a + a    ⇒ s = 3/2.a Area of triangle = under root (√s(s - a)(s - b)(s - c)) =  under root (√3a/2(3/2.a - a)(3/2.a - a)(3/2.a - a) = under root (√3a/2 x a/2 x a/2 x a/2)  = under root (√3a4/16) = √3/4.a2  sq. units Now, if perimeter = 180 cm  3a = 180   ⇒  a = 60 cm  ∴  Area of signal board √3/4.a2   = √3/4 x (60)2    =  900√3 cm2
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