Question

The length and breadth of a rectangular piece of land are in the ratio of 5:3. if the total cost of fencing it at the rate of 48 per metre is rupee 19200 find its length and breadth.

Answer 1

l=5x ; b=3x
cp=2(l+b)48
1920=2(5x+3x)48
1920=2(8x)48
1920=16x*48
16x=1920/48
16x=40
x=40/16
x=2.5
l=5*2.5=12.5meters
b=3*2.5=7.5meters

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