A rectangular lawn of dimensions 65 mx 40 m has a path of uniform width 8 mall around inside it. Find the cost of paving the red stone on this path at the rate of 5.25 per m.
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Answer:
★ Cost = Rs 7476 ★
Step-by-step explanation:
Given:
- Length and Breadth of lawn is 65m and 40m respectively
- Width of Park is 8m
- Rate of paving stone is 5.25/m
To Find:
- Cost of paving stone in path
Solution:
★ Area of Rectangular Lawn = Length x Breadth
→ Area of ABCD = 65 x 40 = 2600m² { Lawn's area}
____________________
† Length of EF = AB – ( 8+8) = 65–16 = 49m
† Breadth of HF = BC – (8+8) = 40–16 = 24 m
Therefore, Area of EFGH = Length x Breadth
→ Area of EFGH = 49 x 24 = 1176m²
__________________
- We have to subtract Area of EFGH from area of ABCD to get the area of Path
∴ Area of Path = (2600–1176) = 1424m²
★ Cost of paving red stone is Rs 5.25/m
∴ Total cost of paving red stone = Area of Path x Cost of paving per meter
→ 1424 x 5.25 = Rs 7476
Hence, Cost will be Rs 7476
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