A path 4 m wides run around the inside of a square Park of side 100 m find the area of the path find the cost of leaving the path at RS 5 per square metre.
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GIVEN :-
- Path of 4m wide run around the inside of square park .
- Side of square park is 100m.
- Cost of levelling the path is 5Rs/m².
TO FIND :-
- Area of path.
- Cost of levelling the path.
TO KNOW :-
♦ Area of square = side²
SOLUTION :-
★ Side of square park = 100m
Side of inner square = 100 - 4 - 4
★ Side of inner square = 92m
→ Area of path = Area of Other square - Area of Inner square
→ Area of path = 100² - 92²
→ Area of path = 10000 - 8464
→ Area of path = 1536m²
Hence , area of path is 1536m².
______________________
Now , we know ,
Cost of levelling 1m² → 5Rs
Cost of levelling 1536m² → 5 × 1536
ㅤㅤㅤㅤㅤ ㅤㅤㅤ ㅤㅤㅤ→ 7680Rs
Hence , Cost of levelling the path is 7680Rs.
______________________
MORE TO KNOW :-
♦ Area of circle = πr²
♦ Area of rectangle = l × b
♦ Area of triangle = (1/2) × b × h
♦ Area of parallelogram = l × h
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Answer:
Area = 1536 sq m .
Cost of levelling = ₹ 7680
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