Question

the length and breath of a rectangular piece of land are in the ratio 5:3. if the total cost of fencing at rupees 7per meter is rupees 2800,find the area of the plot

Answer 1

Answer:

 Area = 9375 m²

Step-by-step explanation:

Let the length and breadth are 5x and 3x respectively      [∵ ratio 5:3]

Length of fencing = perimeter of rectangle

                             = 2 ( Length + Breadth)

                             = 2 ( 5x + 3x )

                             = 16x m

Cost of fencing for  1 m = Rs. 7

Total cost of fencing = Cost of 16x m = 7 × 16x

But total cost given is Rs. 2800

∴ 7 × 16x = 2800

        16x = 400

          x = 25

∴ Length of rectangular piece of land (5x) = 125 m

  Breadth of rectangular piece of land (3x) = 75 m

Area of rectangular plot  = Length × Breadth

        = 125 × 75

       = 9375 m²

Answer 2

Question:

The length and breath of a rectangular piece of land are in the ratio 5:3. if the total cost of fencing at rupees 7per meter is rupees 2800,find the area of the plot ?

Answer:

Area of Rectangular field = 9375m²

Step-By Step Explanation:

Let the Sides of Rectangular piece of Land 'x'

Then, Length of Rectangle = 5x

Breadth of Rectangle  = 3x

Here, Total Cost Of fencing at rupees 7 per meter is Rs 2800

Then, Perimeter of Rectangular  field = 2800/7 = 400 metres

Now, Using Perimeter Formula!

Perimeter = 2(l+b)

400 = 2(5x+3x)

400 = 2(8x)

400 = 16x

•°• x = 25 metres!

So, Length of Rectangular field = 5x => 5(25) = 125 metre

Breadth of Rectangle field = 3x => 3(25) = 75 metres

According to the Question statement!

Area of Rectangular field = Length× Breadth

Area of Rectangular field =125× 75 m²

•°• Area = 9375 m²

Hence, Required Area will be 9375m².