The side of a square field is 70 meter.There is a path of breadth 5 meters on the inner side of the square.find the cost of repairing the path at rupees 15 per square meter.
Answers
Answer:
1070rupees
Step-by-step explanation:
the cost of 1 metre is 15rupees
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Answer:
The cost of reparing the path will be ₹19,500
Step-by-step explanation:
Step 1 : Find the area of ABCD :
Each side of the square ABCD : 70metres (given)
Area of a square : (each side)²
→ (70)²
→ 70*70
→ 4,900m²
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Step 2 : Find the area of PQRS :
Each side of the PQRS will be :
→ 70 - (2*5)
→ 70 - 10
→ 60metres.
Area of the square PQRS :
→ (60)²
→ 60*60
→ 3,600m²
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Step 3 : Find the area of the path :
Area of the path is given by :
→ Area of ABCD - PQRS
→ 4,900 - 3,600
→ 1,300m²
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Step 4 : Find the cost of repairing the path :
Unitary method :
∵ 1m² of repairing costs ₹15
∴ 1,300m² of reparing will amount :
= ₹15 ×1,300
= ₹19,500