the length and breadth of a rectangular field are in 2 ratio 3 ratio 2 if the area of the field is 3456 square metre find the cost of fencing the field at 4rupee per metre
Answers
Answer:
Step-by-step explanation:
Answer:
The cost of fencing the field = Rs 1080
Step-by-step explanation:
Given that:
Area of a rectangular field = 3456 m²
The length and breadth of a rectangular field are the ratio 3 : 2
Let the length and breadth of the rectangular field be 3x and 2x respectively.
Formula used:
Area of rectangle = Length × Breadth sq. unit
Perimeter of rectangle = 2(Length + Breadth) unit
Finding the length and Breadth of the rectangular lawn:
→ 3x × 2x = 3456
→ 6x² = 3456
→ x² = 3456/6
→ x² = 576
→ x² = (24)²
→ x = 24
Length = 3x = 3 × 24 = 72 m
Breadth = 2x = 2 × 24 = 48 m
Finding the perimeter of rectangular field:
Perimeter of rectangle = 2(72 + 48) m
Perimeter of rectangle = 2 × 120 m
Perimeter of rectangle = 240 m
Finding the cost of fencing the field at Rs 4.50 per metre:
Cost of fencing 1 m = Rs 4.50
∴ Cost of fencing 240 m = Rs 4.50 × 240
∴ Cost of fencing 240 m = Rs 1080
Answer:
The cost of fencing the field = Rs 1080
Step-by-step explanation:
Given that:
Area of a rectangular field = 3456 m²
The length and breadth of a rectangular field are the ratio 3 : 2
Let the length and breadth of the rectangular field be 3x and 2x respectively.
Formula used:
Area of rectangle = Length × Breadth sq. unit
Perimeter of rectangle = 2(Length + Breadth) unit
Finding the length and Breadth of the rectangular lawn:
→ 3x × 2x = 3456
→ 6x² = 3456
→ x² = 3456/6
→ x² = 576
→ x² = (24)²
→ x = 24
Length = 3x = 3 × 24 = 72 m
Breadth = 2x = 2 × 24 = 48 m
Finding the perimeter of rectangular field:
Perimeter of rectangle = 2(72 + 48) m
Perimeter of rectangle = 2 × 120 m
Perimeter of rectangle = 240 m
Finding the cost of fencing the field at Rs 4.50 per metre:
Cost of fencing 1 m = Rs 4.50
∴ Cost of fencing 240 m = Rs 4.50 × 240
∴ Cost of fencing 240 m = Rs 1080