Question

The length and breadth of a rectangular piece of land are in the ratio of 4 : 3 if the total cost of fencing in at ₹30 per metre is ₹8400.find its length and breadth
(With a proper solution
I will mark you as brainlist)​

Answer 1

Answer :

• Length is 80m
• Breadth is 60m

Given :

• The length and breadth of a rectangular piece of land are in the ratio of 4:3
• if the total cost of fencing in at ₹30 per metre is ₹8400

To Find :

• its length and breadth

Solution :

Given

• The length and breadth of a rectangular piece of land are in the ratio of 4:3

• Cost is ₹8400

• Rate is ₹30 per m

We need to find the perimeter

• Perimeter = 8400/30 = 280m

Given the ratio is 4 : 3 so,

• Let the length be 4x
• Let the breadth be 3x

We know that

• Perimeter of land = 2(l + b)

Where,

• l is length
• b is breadth

⇢ Perimeter = 2(l + b)

⇢ 280 = 2(4x + 3x)

⇢ 280 = 2(7x)

⇢ 7x = 280/2

⇢ 7x = 140

⇢ x = 140/7

⇢ x = 20

Finding the length and breadth

⇢ Length = 4x

⇢ Length = 4(20)

⇢ Length = 80m

⇢ Breadth = 3x

⇢ Breadth = 3(20)

⇢ Breadth = 60m

Hence,

• Length is 80m
• Breadth is 60m

Verification :

⇢ Perimeter = 2(l + b)

⇢ 280 = 2(80 + 60)

⇢ 280 = 2(140)

⇢ 280 = 280

Hence , Verified