The triangular side wall of flyover have been used for advertisment.the sides of the walls are 122m,22m and 120m.the advertisment yeild an earning of rs.5000 per m² per year.a company hired one of its walls for three months .how much rent did he pay.
Answers
Answer:
Step-by-step explanation:
using heron's formula
a=122m b=22m c=120m
s=a+b+c/2= 122+22+120/2 = 264/2= 132
AREA= √s(s-a)(s-b)(s-c)= √132(132-122)(132-22)(132-120)
=√132(10)(110)(12)= √1742400= 1320m∧2
Let 'y' be rupees be the rent per month
then,according to the question,
rent per year= 12 × 1320 × y =5000rupees (1 yr=12 months)
y = 5000/1320×12 rupees
rent for 3 months = 3 × 1320 × y
=3 × 1320× 5000/1320×12 =5000/4 = 1250 rupees
hope this helps.
Given:-
- the sides of the walls are 122m,22m and 120m.
- The advertisment yeild an earning of rs.5000 per m² per year.
- A company hired one of its walls for three months .
To find:-
- Find the company rent did he pay.
Solutions:-
- The side of the triangle are of 122m, 22m and 120m.
perimeter of triangle = (a + b + c)
= (122 + 22 + 120)m
= 264m
S = (perimeter of triangle)/2
S = 264/2
S = 132m
By heroe's formula,
Area of triangle = √s(s - a)(s - b)(s -c)
= √132(132 - 122)(132 - 22)(132 - 120)
= √132 × 10 × 110 × 12
= √1742400
= 1320m²
Now,
Rent of 1 m² area per year = Rs 5000
Rent of 1 m² area per month = Rs 5000/2
Rent of 1320 m² area for 3 month
= Rs (5000/12 × 3 × 1320)
= Rs 5000 × 330
= Rs 1650000