Question

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.

Answer 1

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