A regular hexagon shaped garden with each side 5m is shown in the figure. BF = 8m
and AD = 11m. Find the area and the cost of developing the garden at the rate of ₹55
per m2
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Given : Regular hexagon shaped garden with each side 5m is shown in the figure. BF = 8m and AD = 11m.
To Find : the area
cost of developing the garden at the rate of ₹55 per m2
Solution:
AB = BC = CD = DE = EF = AF = 5 cm
BF = 8 m => CE = 8 m
Draw AM ⊥ BF
AM = (11 - 5)/2 = 3 m
Area of ΔABF = ΔCDE = (1/2) * 8 * 3 = 12 m²
Area of rectangle BCFE = 5 x 8 = 40 m²
Total area = 12 + 12 + 40 = 64 m²
Area = 64 m²
Rate = 55 rs /m²
Cost = 64 x 55
= 3520 Rs
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