Question

The length and breadth of a rectangular field are in ratio 3:2 If area of field is 3456 sq m then find the cost of fencing it at rupees 60per m​

Answer 1

Answer:

14400

Step-by-step explanation:

let, length = 3x

breadth = 2x

area = 3456 = L * b

3456 = 3x * 2x

3456 = 6x^2

x^2 = 576

x = 24

length = 3x = 3 * 24 = 72

breadth = 2x = 2 *24 = 48

perimeter = 2(l + b)

= 2(72 + 48)

= 2 * 120

= 240

1m = 60

240 m = 240 * 60 = 14400

Answer 2

Answer:

$\huge\bf\purple{QuestioN}$

The length and breadth of a rectangular field are in ratio 3:2 If area of field is 3456 sq m then find the cost of fencing it at rupees 60per m

$\huge\bf\purple{AnsweR}$

$\bf\red{given}$

• Ratio of length and breadth = 3:2

• Area of field is 3456 m²

• Let the length be 3x

• Let the breadth be 2x

• cost of fencing is 60 per m

$\bf\red{to\:find}$

• cost of fencing = ?

Area of field = Length × Breadth

➡️ 3456 = 3x × 2x

➡️ 3456 = 6x²

➡️ x² = 3456/6

➡️ x² = 576

➡️ x = √576

➡️ x = 24

• length = 3x

➡️ 3 × 24

➡️ 72 m

• Breadth = 2x

➡️ 2 × 24

➡️ 48 m

• Perimeter = 2×(l+b)

➡️ 2×(72+48)

➡️ 2× 120

➡️ 240 m

• cost of fencing = perimeter × rate

➡️ 240 × 60

➡️ rupees 14400

Hope it helps you