Question

the length and breadth of a rectangular piece of a land are in the ratio 5 is to 3 if the total cost of fencing it @ rupees 20 per metre is rupees 9600 find its length and breadth and area

Answer 1

Area =cost/rate
=9600/20
=4800
let length be 5x and breadth be 3x
5x × 3x =4800
x × x= 4×4×2×2×5
x = 8root5 cm

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