length of park 4m 28cm breadth= 12m 30 cm find the cost of fencing if it is â¹70 per m
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The length of a park is 4 m 28 cm and it's breadth is 12 m 30 cm. Find the cost of fencing if the rate of fencing is 70 Rs. per metre.
Since it is not specified that what is the shape of the park, we assume that it is a rectangular park.
Then,
Length of rectangular park
= 4 m 28 cm
= 4 × 100 + 28 cm
= 400 + 28 cm
= 428 cm
Breadth of rectangular park
= 12 m 30 cm
= 12 × 100 + 30 cm
= 1200 × 30 cm
= 1230 cm
Now,
Perimeter of the rectangular park
= 2(l+b)
= 2(428+1230)
= 2 × 1658 cm
= 3316 cm
Now, 100 cm = 1 m. So,
1 cm = 1/100 m
3316 cm = 1×3316/100 m = 33.16 m.
Now, Fencing is surrounding the outer boundaries, i.e., the perimeter.
So, the area to be fenced = 33.16 m
Then,
Cost of fencing 1 m = 70 Rs.
So, cost of fencing 33.16 m
= 33.16 × 70
= 2321.2
Hence, the cost of fencing the park = 2321.2 Rs.
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Thank you. ;-)
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