a rectangular park is 64m long and 56m broad. find the cost of lavellingthe park at rs.4.50 per sq.m. and fencing the park at rs.76.50 per metre
Answers
breadth = 56m
Area = l×b = 64×56 = 3584 m^2
rate of lavellingthe park = ₹4.50 per sq.m.
cost of levelling = 3584 × 4.50 = ₹16128
_____________________
perimeter = 2(l+b) = 2(64+56) =2 ×120 = 240m
rate of fencing the park = ₹76.50 per metre
cost of fencing = 240 × 76.50 = ₹18360
_____________________
total cost = 16128 + 18360 = ₹34488
SOLUTION :
The length of the rectangular park = 64 m (given)
The breadth of the rectangular park = 56 m (given)
To be found :-
The cost of leveling the rectangular park at Rs 4.50
And the cost of fencing the rectangular park at Rs 76.50
So,
The cost of leveling the rectangular park at Rs 4.50
Here,
The leveling is done in the area of the rectangular park
So, we have to find the area of the rectangular park
Area of the rectangular park = lb unit sq. [ ∴ In which l is the length and b is the breadth of the rectangular park ]
Area of the rectangular park = 64 × 56 m sq.
= 3584 m sq.
Now,
If the cost of leveling the rectangular park for 1 m sq. = Rs 4.50
so, the total cost for leveling whole rectangular park will be
= 3584 × 4.50
= Rs 16128
Now,
The cost of fencing the rectangular park at Rs 76.50
Here
The fencing is done in the perimeter of the rectangular park
So, we have to find the perimeter of the rectangular park
Perimeter of the rectangular park = 2(l+b) units [ ∴ In which l is the length and b is the breadth of the rectangular park ]
Perimeter of the rectangular park = 2(64 + 56) m
= 240 m
Now,
If the cost of fencing the rectangular park for 1 m = Rs 76.50
so, the total cost for fencing the perimeter rectangular park will be
= 240 × 76.50
= Rs 18360
Hence
The cost of leveling the rectangular park at Rs 4.50 is Rs 16128
And
The cost of fencing the rectangular park at Rs 76.50 is Rs 18360