A square lawn of length 24 m is surrounded by a path 5 m wide Find the cost of levelling the path at Rs. 22.50 per sq m
Answers
Explanation:
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The cost required to leveling the path is Rs. 13050
Explanation:
Given Data
Length or side of the square lawn (a) = 24 m
Width of the path inside the lawn = 5 m
Cost required for leveling per square meter = Rs.22.50
To find the cost of leveling the path
The lawn is in the form of Square.
Area of the Square = a²
Area of the square lawn = 24 × 24
Area of the square lawn (ABCD) = 576 m²
The side, PS = 24 + 5 + 5
PS = 34 m
Also, PQ = QR = RS = PS = 34 m
Total area (PQRS)
Area of the PQRS = (PQ)²
Area of the PQRS = 34 × 34
Area of the PQRS = 1156 m²
Area of the Path can be calculated by subtract the area of the square lawn from the Total area .
Area of the path = Total area - Area of the square lawn
Area of the path = 1156 - 576
Area of the path = 580 m²
Cost required = 580 × 22.50
Cost required = Rs. 13050
The cost required to level the area of 580 m², if the cost required to level the path is R.22.50 per square meter is Rs.13050
To Learn More:
1. A square lawn is surrounded by a path 5m wide. If the area of the path is 900 sq m ,find the cost of levelling the path at rs22.50 per sq m
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2. A square lawn is surrounded by a path 2m wide.ifthe area of the path is 240m,find the area of lawn
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