Question

The ratio of length and breadth of a rectangular field is 5:3 . The total cost of fencing it at Rs.24 per metre is R.9600, find its breadth and length

Answer 1

Answer:

It is given that,

Ratio in length and breadth of a rectangular piece of land = 5:3

Cost of fencing = ₹9600,

Rate = ₹24 per meter.

We know that,

Perimeter = total cost of fencing / rate per meter,

Substituting the values,

=9600/24

=400 m.

Consider 5x as the length and 3x as the breadth,

Here perimeter = 2(l+b)

Substituting the values,

400=2(5x+3x)

By further calculation,

400=2(8x)

So we get,

400=16x

x=400/16=25.

(i) Length of land = 5x = 5∗25 = 125 m.

Breadth of land = 3x = 3∗25 = 75 m.

(ii) Area = l∗b

Substituting the values,

=125∗75

=9375m

2

.

(iii) Cost of levelling at the rate of ₹60 per m

2

= 60∗9375

= ₹ 5,62,500.

Answer 2

Answer:

is given that,

Ratio in length and breadth of a rectangular piece of land = 5:3

Cost of fencing = ₹9600,

Rate = ₹24 per meter.

We know that,

Perimeter = total cost of fencing / rate per meter,

Substituting the values,

=9600/24

=400 m.

Consider 5x as the length and 3x as the breadth,

Here perimeter = 2(l+b)

Substituting the values,

400=2(5x+3x)

By further calculation,

400=2(8x)

So we get,

400=16x

x=400/16=25.

(i) Length of land = 5x = 5∗25 = 125 m.

Breadth of land = 3x = 3∗25 = 75 m.

(ii) Area = l∗b

Substituting the values,

=125∗75

=9375m

2

.

(iii) Cost of levelling at the rate of ₹60 per m

2

= 60∗9375

= ₹ 5,62,500.

Step-by-step explanation:

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