Question

A rectangular field is 110m long and 80m wide .find the length of wire needed to fence the field.also find the cost of the fence if fencing costs ₹8.50per metre​

Answer 1

Answer :

Total cost of fencing the field at the rate of Rs. 8.50 = Rs. 3230

Explanation :

Given :

• Length of a rectangular field = 110 m
• Breadth of a rectangular field = 80 m
• Rate of fencing the field = Rs. 8.50

To find :

• Length of wire needed to fence the field
• Cost of fencing the field

Solution :

Length of wire needed to fence the field = Perimeter of the field

Using formula,

• Perimeter = 2(l + b)

where,

• l denotes the length
• b denotes the breadth

Substituting the given values :

⇒ Perimeter = 2(110 + 80)

⇒ Periemter = 2(190)

⇒ Perimeter = 380

• Periemter of the rectangular field = 380 m

Calculating the cost of fencing the field :

To find the cost of fencing the field, multiply the perimeter of the field by the rate of fencing the field.

[Here, we will multiply the perimeter by the rate because fencing is done to the boundaries and perimeter is the sum of the sides.]

⇒ Total cost = Rate × Perimeter

⇒ Total cost = 8.50 × 380

⇒ Total cost = 3230

Total cost of fencing the field = Rs. 3230

Answer 2

Answer:

•The length of wire needed to fence the is

380 m.

•The cost of fencing the field at the rate

of Rs 8.50 per metre is Rs 3230.

Explanation:

☆To find :

•The length of wire needed to fence the

rectangular field .

•The cost of the fence

☆Given :

•The rectangular field is 110m long and

80 m wide.

•The fencing cost Rs 8.50 per metre

☆Formula :

• Perimeter =2 ( length × breadth)

☆Solution:

•The length of the wire needed to fence the field is equal to the Perimeter of the field as the wire will fence the boundaries of the field .

•Therefore, the wire needed to fence

$- > 2(110 + 80)m \\ \\ = >( 2 \times 190)m \\ \\ = > \color{aqua} 380m \: \: \: \: \: \: \: \: \: \: \:$

•Cost of fencing the field =

(Rate of cost×Perimeter)

•Therefore cost of fencing the field

$- > rs(380 \times 8.50) = \color{lime} Rs 3230$

☆Hence:

•The length of the wire needed to fence the rectangular field is 380 m .

•The cost of fencing is Rs 3230

___________________________

☆Extra Information:

• Area of rectangle = length×breadth

• Area of square = a²

• Perimeter of square = 4a

• Area of triangle = 1/2 ×base × height

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hope it helps.... :)