A rectangular lawn measuring 25 m by 16 m is to be surrounded externally by a path which is 3 m wide. Calculate the cost of levelling it at rupees 3.50 per m square
Answers
Answer:
area of lawn= l×b
=25×16
=400 m sq.
area of lawn including path =(l+3)/(b+3)
=(25+3)/(16+3)
=28×19
=532 m sq.
area of path = area of lawn including path +area of lawn
=532-400
=132m sq.
cost of levelling = 132×3.50
=462rupees
The cost of leveling is Rs 987.
Explanation:
Given : Length of the rectangular lawn = 25 m
Breadth of the rectangular lawn = 16 m
If lawn is surrounded externally by a path which is 3 m wide. , then length of the path l= 25 m+2(3) m = 31 m
Width of the path b= 16 m +2(3m) = 22 cm
Area of path = l x b - (Area of lawn)
= 31 x 22 - (25 x 16) [area of rectangle = length x breadth]
=682 -400 = 282 sq. m
Rate of levelling = 3.50 per m square
Then, Cost of leveling = (Rate of levelling ) x (Area of path)
= 3.50 x (282)= Rs 987
Hence, the cost of leveling is Rs 987.
# Learn more :
A rectangular lawn measuring 50 m by 36 m is surrounded externally by anpath which is 2 m wide. find the area of the path. also calculate the cost of levelling of the path at rupees 16 per m2
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