Question

FI05 per metre. The length and breadth of a rectangular piece of land are in the ratio of 5:3. If the total com of fencing it at * 24 per metre is 9600, find its length and breadth. B. Find the area of the square, the length of whose diagonal is :​

Answer 1

Answer:

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