A triangular plot of a temple compound has sides 51 m, 37 m and 20 m. Garden lights are to be placed covering the entire area at 1 light per 6m2. How many lights (whole number) are needed to cover the area?
Class 9Area of a Triangle by Heron's FormulaMensuration
A102
B51
C46
D56
Step-by-Step Solution
s=251+37+20=54. Area = 54⋅(54−51)⋅(54−37)⋅(54−20)=54⋅3⋅17⋅34=93636=306m2. Lights = 6306=51.
Answer: B) 51
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