Question : Directions: Six regular hexagons of side 5 cm are joined together to form the figure given below. What is the perimeter of the figure?
Option 1: 210
Option 2: 180
Option 3: 120
Option 4: 240
Correct Answer: 120
Solution :
Given:
The side of a regular hexagon is 5cm.
The perimeter of a given figure(P) = (Total length of the external boundary) + (Total length of the internal boundary)
P = (AB + BC + CD + DE + EF + FG + GH + HI + IJ + JK + KL + LM + MN + NO + OP + PQ + QR + RA) + (ST + TU + UV + VW + WX + XS)
P = (5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5) + (5 + 5 + 5 + 5 + 5 + 5)
P = 90 + 30
P = 120
Therefore, 120 is the perimeter of the given figure. Hence, the third option is correct.
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