Question

the length and breadth of a rectangular piece of a land is 5x and 3x . if the total coast of fencing is 24 rupee per meter is 9600 rupee find it length and breadth?

Answer 1

Total cost of fencing =9600
Rate of fencing =24₹/m
Total length of fence=9600/24=400m
2(l+b)=400
5x+3x=200
8x=200
x=25
So,length =5(25)=125m
breadth=3(25)=75m

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