The cost of fencing a square lawn at
rupees 14 per metre is rupees 28000 find the cost of mowing the lawn at rupees 54 per 100 metre square
Answers
Answer :
Cost of fencing a square lawn at Rs. 14 = Rs. 28000
Cost of fencing per meter = Rs. 14
Perimeter of the square lawn = Cost of fencing lawn / Rate = 28000 / 14 = 2000 m
Let the side of square be ' s ' m
Perimeter of the square lawn = 4s
=> 2000 = 4s
=> 2000 / 4 = s
=> 500 = s
Area of the square lawn = s² sq.units
= 500²
= 250000 m²
Cost of mowing the lawn per 100 m² = Rs. 54
Cost of mowing the law per 1 m² = Rs. 54 / 100
Cost of mowing the square lawn = 250000 × 54 / 100 = Rs. 135000
Hence the cost of mowing the square lawn is Rs. 135000.
Answer:
Step-by-step explanation:
Hi
We are given that cost of fencing a square lawn at 14₹ per meter is 28000₹.
So,
Perimeter of the square lawn is:-
Total cost/cost per meter
=> 28000/14
= 2000 meter
So the perimeter of the square lawn is 2000 meter
We know perimeter of a square = 4a
Where 'a' is the side of the square.
So,
4a = 2000
a = 500 meter
So the side of the square lawn is 500 m.
Mowing the lawn refers to finding the area of the square lawn.
So,
We know area of square = a×a
Where 'a' is the side of the square lawn.
And 'a' = 500m
So Area of the square lawn => 500×500
Area = 250000 meter square.
So we need to find the cost of mowing the square lawn at 54₹ per 100 meter square.
So total cost = 250000 × (54/100)
= 2500 × 54
= 135000 ₹
So cost of mowing the square lawn = 135000 ₹