Question

the length and breadth of a rectangular piece of land are in the ratio 5:3.of the total cost of fencing it at 24rupee per metre is 9600 rupee fond ots length snd breadth

Answer 1

Here total cost = 9600

so area will be = 9600/ 24
=> 400
we know 2(length + breadth) = perimeter

2 (5x + 3x) = 400
10x + 6x = 400
16x = 400
x = 400/16 = 25

=> length = 25 × 5 = 125
breadth = 25 × 3= 75

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