A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle a square an...........

Quantitative Aptitude (CGL) Mensuration 3D

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of

Circle

Equilateral triangle

Square

Equal in all the shapes

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Explanation:

In triangle, perimeter=3a=132,a=44
So, area=(√3*a^2)/4=√3*44/4×44
=484√3....(i)
square, perimeter4a=132
a=33
So, area=a^2=(33)^2=1089
Circle perimeter =2πr=132
2×(22/7)r=132
So, r = 21
Now,
area=πr^2=(22/7)×21×21
=1386
So, area of circle will be longest shape