Question

mathematics perimeter and area 1 the length and breadth of a rectangle piece of land are in the ratio 5:2 if the total cost of fencing it at rs 12.5 per metre is rs 25000 find it's length and breadth​

Answer 1

Answer:

• Lenght of the rectangular plot = 714.25 m.

• Breadth of the rectangular plot = 285.7 m.

Given :

• The length and breadth of a rectangle piece of land are in the ratio 5:2.

• The total cost of fencing it at ₹ 12.5 per metre is ₹ 25000.

To find :

• Its length and breadth =?

Step-by-step explanation:

Finding the Perimeter of rectangular piece of land,

So,

Perimeter of rectangular piece of land = Total cost of fencing / Rate of fencing

Substituting the values in the above formula, we get,

= 25000/12.5

= 2000.

Thus, Perimeter of rectangular piece of land = 2000 m².

Now,

Let, the length and breadth of a rectangle piece of land are in the ratio be 5x and 2x.

We know that,

Perimeter of the rectangle = 2 ( Length + breadth)

Substituting the values in the above formula, we get,

➮ 2000 = 2 ( 5x + 2x)

➮ 2000 = 10x + 4x

➮ 2000 = 14x

Or, 14x = 2000

➮ x = 2000/14

➮ x = 142.85

Hence,

Lenght of the rectangular plot = 5x = 5 × 142.85 = 714.25 m.

Breadth of the rectangular plot = 2x = 2 × 142.85 = 285.7 m.