A square field, 300 m long, is bordered on the outside by a path of width 5 m. Find the cost of paving the path at ₹150 per 100 sq.m.
Please solve this math
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★ The total cost of paving the path is Rs.9150
Step-by-step explanation:
Given:
- A square field, 300 m long, is bordered on the outside by a path of width 5 m
To Find:
- Find the cost of paving the path at ₹150 per 100 sq.m.
Solution:
★ We Know that :
- The side of the square is 300m
- The path of width 5m is surrounded
★ Now the dimensions :
- of each side of the square field with the field will be
⋆ 300m + 5m + 5m
⋆ 300m + 10m
⋆ 310m
∴ The measure of each side of the field with the path is 310m
★ Formula used :
- Area of a square = Side × Side
★ Now the area of :
- The field along with the path will be
⋆ Side × Side
⋆ 310m × 310m
⋆ 96100m
- The square field will be
⋆ Side × Side
⋆ 300m × 300m
⋆ 90000m
★The area of the path will be :
- 96100m - 90000m
- 6100m
∴ The area of the path is 6100m
★The cost :
- For paving the path = 6100 × 150 / 100
- For paving the path = 9150
Therefore:
- The total cost of paving the path is Rs.9150
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