Question

27
The length and breadth of a
rectangular field are in the
ratio of 3:2.If the area of the
field is 3456square metre find
the cost of fencing the field at
Rs 3.50 per metre."
O Rs875
O R5860
O Rs840
O 845


tell fast guys​

Answer 1

Answer:

Cost of fencing of rectangular field is Rs 840 .

Step-by-step explanation:

Formula

Perimeter of a rectangle = 2 (Length + Breadth)

Area of a rectangle = Length × Breadth

As given

The ratio of the length and breadth of a rectangular field 3:2,if the area of the field 3456 m² .

Let us assume that y be the scalar multiple of the length and breadth of a rectangle .

Length = 3y

Breadth = 2y

Put all the values in the formula

3456 = 3y * 2y

34560= 6$y^{2}$

$y^{2}$ =  $\frac{3456}{6}$

y² = 576

√576 = 24

y = 24

Length = 3 × 24

           = 72 m

Breadth = 2 × 24

             = 48 m

Put values in the formula

Perimeter of a rectangle field = 2 × (72 + 48)

                                                 = 2 × 120

                                                 = 240 m

As given

Cost of fencing the field at rate of Rs 3.50. Per meter.

Total cost of fencing = Perimeter of  a rectangle field  × Cost of  fencing per meter .

                                 = 240 × 3.50

                                 = Rs 840

Therefore the cost of fencing of rectangular field is Rs 840 .

Answer 2

Answer

Rs 840

Explanation

Let the length and breadth be 3x and 2x respectively.

Now

Area = l*b

3456m² = 3x * 2x

3456=6x²

3456/6 = x²

576 = x²

√576 = 24

x = 24

therefore

length = 3*24

= 72m

breadth = 2*24

= 48 m

Now

perimeter = 2(l+b)

= 2(72+48)

= 2*120

= 240m

therefore, cost for fencing field 1 m = Rs 3.50

cost for fencing field 240 m

= Rs 3.50 * 240

= Rs 840