Question

80 meter wide rectangular field has area 12000 m2 . it is to be fenced with wire . if fencing cost is Rs. 50 per meter , then find the total cost of fencing

Answer 1

GIVEN

The rectangular field has width 80m wide.

Its area is 12000m^2

Cost of fencing is Rs.50per Meter

TO FIND

Cost of Fencing

SOLUTION

Area = Length × Breadth

=> 12000 = Length × 80

=> Length = 12000 ÷ 80

=> Length = 150m

Hence Length = 150m and breadth = 80m

Perimeter = 2(Length + Breadth)

= 2 ( 150 + 80 )

= 2 × 230

= 460m

Hence Perimeter of Rectangle is 460m

COST OF FENCING = Perimeter × Rate

= 460 × 50

= 23000

Therefore, the total cost of fencing is Rs.23000. (ANS)

Answer 2

Question:-

A 80 m wide rectangular field has area 12000 m² . It is to be fenced with wire . If fencing cost is Rs. 50 per meter , then find the total cost of fencing?

Answer:-

Given, breadth= 80m

Given, area= 12000m²

Area of rectangle= length× breadth

$\bold{12000 = length \times 80}$

$\implies\bold{length = \frac{12000}{80}}$

$\bold {\implies \: length = 150}$

As, we know that fencing is done on the boundary, hence we need to find the perimeter.

Perimeter of rectangle=2(l+b)

$\textsf{= 2(150+80)}$

$\textsf{= 2(230)}$

$\textsf{= 460 cm}$

Now,

Cost of fencing per metre= ₹50

Cost of fencing for 460 m= 460×50

=₹23000