Question

u. The area of a rectangular park is 4100 sq.m and its breadth is 50 m. Find the cost of fencing it at 30 per metre.​

Answer 1

Answer:

area of rectangular park is 4100 sq m.

formula of rectangle= length×breadth

4100 = length × 50m

length= 4100/50m

length= 82m

So now we can calculate perimeter to Find the cost of fencing

formula of perimeter= 2(length+breadth)

length= 82 m

breadth= 50m

perimeter of rectangular park is = 2(50+82)= 264m

Cost of fancing 30 @ meter = 264×30=7920.

7920 is a right answer.

Answer 2

$\boxed{\huge \mathrm{Solution-}}$

Given:-

• Area of rectangular park = 4100 m²
• Breadth = 50 m
• Cost of fencing / per m = ₹30

We have to find:-

• Cost of fencing of the full rectangular park.

Let's start with finding the length of the rectangular park.

We know,

$\boxed{\mathrm{ l × b = Area}}$

where 'l' is length and 'b' is breadth of the rectangular park.

So,

$\mathrm{l × 50 m = 4100 m²}$

$\mathrm{\implies l = \frac {4100m²} {50m}}$

$\mathrm{\therefore l = 82m}$

Now, we know the length of the rectangular park we can now be able to find the perimeter of the rectangular park.

We know,

$\boxed{\mathrm{2(l + b) = P}}$

where 'l' is length and 'b' is breadth of the rectangular park.

So,

$\mathrm{2(82m + 50m)}$

$\mathrm{=2 × 132m}$

$\mathrm{\therefore P = 264m}$

Now, Cost of fencing / per m = ₹30

264m of fencing will cost

$\mathrm{264m × ₹30 = \boxed {₹7, 920}}$

Hence, Cost of fencing / per m = ₹7, 920.

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