Question

A lawn is in the form of a rectangle whose sides are in the ratio 5:3 . the area of the lawn is 3375m . find the cost of fencing the lawn at rs8.50 metre ​

Answer 1

Answer:

answer is ₹2040 ..

Step-by-step explanation:

Hope it will help u .........

Answer 2

• Given

• Ratio of the lawn which is in the form of rectangle = 5 : 3
• Area of the lawn = 3375 m²

• To find

• Cost of fencing the lawn at Rs. 8.50 metre

• Solution

Let the sides of the lawn be 5x and 3x.

Using the formula,

Area of rectangle = length × breadth

Substituting their values,

⟶ 5x × 3x = 3375

⟶ 15x² = 3375

⟶ x² = 3375/15

⟶ x² = 225

⟶ x = ± √225 Reject - ve

⟶ x = 15

The value of x = 15

The sides of the lawn -

• 5x = 5 × 15 = 75 m
• 3x = 3 × 15 = 45 m

Using the formula,

Perimeter = 2(l + b)

where,

• l = length
• b = breadth

Substituting their values,

⟶ 2(75 + 45)

⟶ 2(120)

⟶ 240 m

Cost of fencing the lawn = 240 × 8.50 = Rs.2040

Therefore, Cost of fencing the lawn at Rs. 8.50 metre is Rs. 2040