Question

The cost of fencing a triangular field at the rate of Rs. 15 per m is Rs. 900. If the lengths of the triangle are in the ratio 3:4:5, find the area of field and the cost of cultivating it at the rate of Rs. 48 per m2.

Answer 1

perimeter of triangle=900/15=60m

let ratio equal to a

perimeter of triangle=60m

sum of all sides=60m

3a+4a+5a=60m

12a=60m

a=5m

sides are=15,20&25

area of triangle

by heron's formula

√s(s-a)(s-b)(s-c)

solve by putting

s=30 & a=15,b=20&c25

we get 150 metre square

cost of 1 metre square for cultivating is rupees 48

hence cost of 150 metre square for cultivating is 48×150=rupees 7200

Answer 2

Answer:

perimeter of triangle=900/15=60m

let ratio equal to a

perimeter of triangle=60m

sum of all sides=60m

3a+4a+5a=60m

12a=60m

a=5m

sides are=15,20&25

area of triangle

by heron's formula

√s(s-a)(s-b)(s-c)

solve by putting

s=30 & a=15,b=20&c25

we get 150 metre square

cost of 1 metre square for cultivating is rupees 48

hence cost of 150 metre square for cultivating is 48×150=rupees 7200

Step-by-step explanation: