Question

find the cost of fencing a rectangular lawn at rs3.50 per metre if its its area is 1648m square2 and the sides are in the ratio of 5:3.​

Answer 1

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Answer 2

Answer:

• The cost of fencing a rectangular lawn at Rs 3.50 per metre is Rs 586.88

Step-by-step explanation:

Given that:

• Area of a rectangular lawn = 1648 m²
• Sides are 5 : 3

Let the length and breadth of the rectangular lawn be 5x and 3x respectively.

Formula used in this question:

• Area of rectangle = Length × Breadth sq. unit
• Perimeter of rectangle = 2(Length + Breadth) unit

Finding the length and Breadth of the rectangular lawn:

→ 1648 = 5x × 3x

→ 15x² = 1648

→ x² = 1648/15

→ x² ≈ 109.86

→ x² ≈ (10.48)²

→ x ≈ 10.48

• Length = 5x = 5 × 10.48 = 52.40
• Breadth = 3x = 3 × 10.48 = 31.44

Finding the perimeter of rectangular lawn:

• Perimeter of rectangle = 2(52.40 + 31.44) m
• Perimeter of rectangle = 2 × 83.84 m
• Perimeter of rectangle = 167.68 m

Finding the cost of fencing a rectangular lawn at Rs 3.50 per metre:

Cost of fencing 1 m = Rs 3.50

∴ Cost of fencing 167.68 m = Rs 3.50 × 167.68

∴ Cost of fencing 167.68 m = Rs 586.88