Question

The length and breadth of athe length and the breadth of a rectangular piece of land are in the ratio of 5:3 .if the total cost of fencing it at rupees 24 per metre is rupees 9600. Find its length and breadth ​

Answer 1

Step-by-step explanation:

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

Cost of fencing = ₹ 9600

And rate = ₹ 24 per m

Perimeter = Total cost of fencing/Rate per m = 9600/24 = 400 m

Let length = 5x

Then breadth = 3x

∴ Perimeter = 2(l + b)

400 = 2 × (5x + 3x)

∴ 16x = 400

x = 400/16 = 25

(i) ∴ Length of land = 5x = 5 × 25 = 125 m

And breadth = 3x = 3 × 25 = 75 m

(ii) Area = l × b

= 125 × 75 = 9375 m2

(iii) Cost of levelling at rate ₹ 60 per m2

= ₹ 60 × 9375 m2 = ₹ 5, 62,500

Answer 2

$\huge \pink{\bf AnSwer }$

Length and the breadth of a rectangle are of the ratio 5:3

Cost of fencing is ₹24 per m

Total cost = 9000

Length & Breadth of the rectangle

Solution

Let,

Length = 5x

Breadth = 3x

✭ Perimeter

→ Perimeter = Total Cost/Cost per m

→ Perimeter = 9000/24

→ Perimeter = 400 m

✭ Finding x

→ Perimeter = 2(l+b)

→ 400 = 2(5x+3x)

→ 400/2 = 8x

→ 200 = 8x

→ 200/8 = x

→ x = 25

✭ Length and Breadth

→ Length = 5x = 5×25 = 125 m

→ Breadth = 3x = 3×25 = 75 m