Question

the length and breadth of a rectangular piece of land are in the ratio 5 : 3 if the total cost of fencing is rupees 24 per metre is rupees 9600 find its length and breadth area cost of labelling @ rupees 60 per metre square

Answer 1

Length = 5 x and breadth = 3 x .

Perimeter = 2 (5x + 3x ) = 16 x .

A/Q ,  16 x × 24  = 9600

∴ x = 25

Area = 125 x 75 = 9375 m²

Cost  of levelling = 9375 x 60 = 562500

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