Question

-2 There is a path of width 3m all around outside a rectangular field of length 50m and breadth 30m. (1) Find the area of the path. (2) Cost of constructing the path at the rate of 110 per sq.m​

Answer 1

Answer:

So the area of path = 749 m^2

And the cost of constructing path = 82390Rs

Step-by-step explanation:

The length of the rectangular field = 50m

And the breadth of the rectangular field= 30m

Now there is a path of 3m width outside the rectangular field

So the length of the rectangular field with the path is = 50+3 = 53m

And the breadth of the rectangular field with the path = 30+3= 33m .

Now the area of the rectangular field without the path = 50×30 = 1500m^2

And the area of the rectangular field with the path = 53×33= 1749m^2

Now the area of the path= 1749-1500m^2

= 749 m^2

The cost of constructing 1 m^2 path = 110 Rs.

So the cost of constructing 749 m^2 path

= 749×110= 82390 Rs.

Answer 2

Attachment is necessary

1. Area of a rectangular field = 50 × 30 = 1500 m²

Area of path = [(50 + 6)(30 + 6)] - 1500

Area of path = (56×36) - 1500

Area of path = 2016 - 1500

Area of path = 516 m²

2. Cost of constructing the path at the rate of 110 per sq m means 1 m² = ₹ 110

Therefore, 516 m² = 516 × 110 = ₹ 567600

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