Question

A rectangular piece of land measures 0.7*0.5 km. Each side is to be fenced with four rows of wires. What length of wires is needed in metres?​

Answer 1

Given:

• length of the rectangular piece of land = 0.7 km
• breadth of the rectangular piece of land = 0.5 km
• number of rows to fence each side = 4

To find:

• length of wire needed in metres

Solution:

Fencing the rectangular piece of land refers to the perimeter of that land. The perimeter of a rectangle:

⇒ 2 × (l + b)

⇒ 2 × (0.7 + 0.5)

⇒ 2 × 1.2 km

⇒ 2.4 km

Since it is mentioned that there will be four rows of wires, the total length of the wires needed is:

⇒ 4 × the perimeter of the rectangular land

⇒ 4 × 2.4

⇒ 9.6 km

Converting 9.6 km to metres, we get 9600 metres.

Therefore, 9600 metres of wire is needed.

Answer 2

The measure of rectangular piece of land is given to be 0.7 × 0.5 km

We will first find the perimeter of the rectangular field

Perimeter = 2 (length + breadth)

              = 2 ( 0.7 + 0.5 )

              = 2 × 1.2

              = 2.4 km

2.4 km = 2.4 × 1000 m

           = 2400 m

Now, for 1 row of fencing 2400 m long wire will be needed

So, for four rows of fencing = 2400 × 4

                                             = 9600 m

Hence, for four rows of fencing 9600 m of wire will be required.