can anyone explain this to me step by step pls A triangular plot has the sides 30m, 82m and 56 m. Find the cost of cementing the plot at the rate of ₹ 12 per m2 and also find the cost of fencing its boundaries with barbed wire at the rate of ₹5.
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Step-by-step explanation:
- the triangular plot has sides measures 30m, 82m and 56m
- all sides are unequal means triangle is scalene triangle
- Area of scalene triangle = √s(s-a)(s-b)(s-c)
- where s=1/2 of (a+b+c) a,b and c are sides of given triangle
- s=1/2 (30+82+56)
- s= 1/2 of 168
- s=84
- area of a plot=√84(84-30)(84-82)(84-56)
- area of a plot=√84×54×2×28
- area of a plot=√28×3×3×9×2×2×28
- area of plot=28×9×2
- area of a plot = 504 m^2
- the cost of cementing of the plot=₹ 504×12
- cost of cementing of the plot = ₹ 6048
- required fencing boundaries of the plot means perimeter of the plot = a+b+c
- perimeter of the plot = 30+82+56= 168
- cost of barbed wire fencing = 168×5= ₹ 840
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