Question

A square garden has a side that is 22.5cm long . How much wide will be needed to fence the garden ? Also find the cost of fencing of the rate ₹250 per metre​

Answer 1

Answer:

∴ $90$ cm wire will be needed to fence the garden.

  Rs. $225$ will be the cost of fencing the square garden.

Step-by-step explanation:

In context to question asked,

• We have to find the total wire needed to fence the garden and the cost of fencing of the rate ₹250 per metre​.
• It is given that the side of a square garden is $22.5$ cm.
• As we know that, square has four sides and its all sides are equal in length.
• To find the total wire needed to fence the garden, we have to find the perimeter of a garden.

• Perimeter of a square is the sum of all sides of a square.
• So,

      Perimeter of a square garden = $4\times side$

                                                 = $4\times 22.5$

                                                 = $90$ $cm$

• Now, the cost of fencing per metre i.e. for $100$ cm = Rs. $250$
• Let, the cost of fencing for $90$ $cm$ be $x$.
• The ratio becomes,

         $\frac{90}{100} =\frac{x}{250}$

• By cross multiplication, we get

      ∴ $100x=90\times 250$

          ∴ $x=\frac{22500}{100}$

          ∴ $x=225$      

• ∴ $90$ cm wire will be needed to fence the garden.
•   Rs. $225$ will be the cost of fencing the square garden.