Question

the length and breadth of a rectangular piece of land are in the ratio 5 is to 3 if the total cost of fencing it at 24 per metre is 9600 find the length and breadth

Answer 1

Answer:

Step-by-step explanation:length = 5x and breadth be 3x

2 ( 5x+3x) = 16x is perimeter  

perimeter = 9600/24 = 400

16x = 400

x= 25  

length = 125m

breadth= 75m

Answer 2

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