Question

The cost of fencing a square field at Rs 30/- per metre is Rs 2400/- . Find the perimeter of the field​

Answer 1

Answer:

80 metres

Step-by-step explanation:

As per the provided information in the given question, we have:

• Cost of fencing = Rs 30/- per metre.
• Cost of fencing a square field is Rs 2400/-.

We've been asked to calculate the perimeter of the field.

$\odot$ Perimeter of square is 4 times the side of the square. Let us denote the side of the square as x here.

$\longrightarrow\quad\sf{Perimeter\: of\: square=4\times x}$

As we know that multiplication of the cost of fencing per meter by perimeter of the field will give us total cost of fencing the whole square filed. $\\\longrightarrow\quad\sf{Total\: cost\: of\: fencing=Cost\: of\: fencing\times Perimeter\: of\: square\: field}$

Equating the values, we get:

$\longrightarrow\quad\sf{2400=30\times 4x}$

Transposing 30 from RHS to LHS.

$\longrightarrow\quad\sf{\dfrac{2400}{30}=4x}$

Performing division.

$\longrightarrow\quad\sf{80=4x}$

Transposing 4 from RHS to LHS in order to calculate the value of x that is the side of the square field.

$\longrightarrow\quad\sf{\dfrac{80}{4}=x}$

Performing division.

$\longrightarrow\quad\bold{20=x}$

We've calculated the value of x that is 20. As we have assumed that the perimeter of square is 4x. Thus, equating value of x in the perimeter of square formula.

$\longrightarrow\quad\sf{Perimeter\: of\: square=4\times 20}$

Performing multiplication.

$\longrightarrow\quad\bold{Perimeter\: of\: square= 80\: m}$

❝ Therefore, perimeter of the square field is 80 metres. ❞