Question

If the cost of fencing a square plot at the rate of 2.50 per metre is 200, then find the length of each side of the field. ​

Answer 1

Given :

• Cost of fencing a square plot at the rate of 2.50 per metre is Rs. 200.

To calculate :

• Length of each side of the field, l.

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Explication of steps :

As per the given question, the cost of fencing a square plot at the rate of 2.50 per metre is Rs. 200. Whenever we talk about fencing, we refer to the perimeter. So,

$\twoheadrightarrow$⠀⠀⠀Total cost of fencing = P × Rs 2.50

• (P = Perimeter)

$\twoheadrightarrow$⠀⠀⠀200 = P × 2.5

$\twoheadrightarrow$⠀⠀⠀200 ÷ 2.5 = P

$\twoheadrightarrow$⠀⠀⠀80 m = P

Now, as we have to find the length of each side of the square plot. As we know that the perimeter of the square plot is four times of its side. So,

$\twoheadrightarrow$⠀⠀⠀Perimeter of Square = 4s

$\twoheadrightarrow$⠀⠀⠀80 m = 4s

$\twoheadrightarrow$⠀⠀⠀80/4 m = s

$\twoheadrightarrow$⠀⠀⠀20 m = s ★

∴ The length of each side of the field is 20 m.

Answer 2

Answer:

Total cost of fencing a square plot =Rs.200

Rate of fencing =Rs2.50

∴ Perimeter of square =  

Rate

Total cost

​

=

2.5

200

​

=80m

Since we know that

The perimeter of square =4a

⇒80m=4a

⇒a=20m

∴ Length of square plot  =20m

Step-by-step explanation:

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