A park is in the form of a right triangle with hypotenuse 75m. If one of its sides is 60m, find the cost of levelling it at the rate Rs.3 per sq.m
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Given :-
A park is in the form of a right triangle with hypotenuse 75m. If one of its sides is 60m, find the cost of levelling it at the rate Rs.3 per sq.m
To Find :-
- the cost of levelling at the rate Rs.3 per sq.m
Solution :-
- Hypotenuse :- 75 m
- One of its side :- 60 m
So, the other side will be - ( use Pythagoras theorem )
- Let the other side be x
→ ( x )² = ( 75 )² - ( 60 )²
→ ( x )² = 5625 - 3600
→ ( x )² = 2025
→ x = √2025
→ x = 45
Here, we can see the other side is 45m
Now, find the area of the land
Area = 1/2 × base × height
→ 1/2 × 60m × 45 m
→ ( 30 × 45 ) m
→ 135 m²
The cost of levelling is ₹ 3 / m²
So, the total cost = 135 × 3 = ₹ 405
Thank You!
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