A rectangular plot of land is 40 m long .The cost of leveling the plot at the rate of Rs.8 per m² is Rs 8320. Find (i) the breadth of the plot. (ii) the cost of fencing the plot at the rate of Rs.27.5 per meter.
Answers
Step-by-step explanation:
Given :-
A rectangular plot of land is 40 m long .The cost of leveling the plot at the rate of Rs.8 per m²
is Rs 8320.
To find :-
Find the following :
(i) the breadth of the plot ?
(ii) the cost of fencing the plot at the rate of Rs.27.5 per meter ?
Solution :-
Given that
The length of the rectangular plot (l)
= 40 m
Let the breadth of the rectangular plot be b m
We know that
Area of a rectangle = lb sq.units
Area of the rectangular plot
=> 40×b
=> Area = 40b sq.m
Given that
The cost of leveling the plot at the rate of Rs.8 per m² = Rs 8320.
Area of the rectangular plot
=> Total cost of levelling / cost per 1 m²
=> 8320/8
=> 1040 m²
Area of the rectangular plot = 1040 m²
Now, we have
=> 40 b = 1040
=> b = 1040/40
=> b = 104/4
=> b = 26 m
Breadth of the rectangular plot = 26 m
We know that
Perimeter of a rectangle = 2(l+b) units
Perimeter of the rectangular plot
=> P = 2(40+26) m
=> P = 2(66) m
=> P = 132 m
Perimeter of the rectangular plot = 132 m
The cost of fencing the plot per 1 m
= Rs. 27.5
Total cost of fencing the rectangular plot of 132 m
=> 132 × 27.5
=> Rs. 3630
Total cost = Rs. 3630
Answer:-
i) Breadth of the rectangular plot = 26 m
ii) Total cost of fencing the rectangular plot at the rate of Rs. 27.50 per 1 meter = Rs. 3630
Used formulae:-
→ Area of a rectangle = lb sq.units
→ Perimeter of a rectangle = 2(l+b) units
- l = length
- b = breadth
Answer:
(i)breadth is 26m
(ii)cost of fencing is ₹3630