The area of a rectangle field is 4 hectare. Find its length if the breadth is 160 m. Also find the cost of fencing its boundary at the rate of rupees 5.20 per metre. ( 1 hectare = 10000 sq m)
Answers
Given -
The area of a rectangle field is 4 hectare and its breadth is 160m.
To find -
- Length of rectangular field
- The cost of fencing its boundary at the rate of rupees 5.20 per metre.
Solution -
- Convert 4 hectare into m²
Focus Zone : 1 hectare = 10000 m²
→ Area of rectangle
→ 4 × 10000
→ 40000 m²
According to the question
- Breadth of rectangle field = 160 m
→ Area of rectangle = 40000m²
→ l × b = 40000
→ l × 160 = 40000
→ l = 40000/160
→ l = 250 m
•°• Length of rectangle field = 250 m
________________________________
→ Perimeter of rectangle
→ 2(l + b)
→ 2(250 + 160)
→ 2 × 410
→ 820 m
Rate of fencing the rectangle field is 5.20 m
- Total cost for fencing rectangle field
→ 820 × 5.20
→ Rs.4264
________________________________
Answer:
Given :-
- The area of a rectangle field is 4 hectare and its breadth is 160 m and its boundary at the rate of Rs 5.20 per metre. (1 hectare = 10000 sq m)
To Find :-
- What is the length and the cost of fencing it's boundary.
Solution :-
Area of a rectangle field is 4 hectare.
We know that,
1 hectare = 10000 sq m
Then, 4 hectare = 4 × 10000 m² = 40000 m²
Now, we know that,
★ Area = Length × Breadth ★
Given :
- Area = 40000 m²
- Breadth = 160 m
According to the question by using the formula we get,
⇒ Length × 160 = 40000
⇒ Length = 40000/160
➠ Length = 250 m
∴ The length of a rectangular field is 250 m .
Again, we know that,
✪ Perimeter = 2(Length × Breadth) ✪
Given :
- Length = 250 m
- Breadth = 160 m
According to the question by using the formula we get,
↦ Perimeter = 2(250 + 160)
↦ Perimeter = 2(410)
↦ Perimeter = 2 × 410
➦ Perimeter = 820 m
Now, we have to find the cost of fencing,
Given :
- Perimeter = 820 m
- Rate = Rs 5.20 per metre
According to the question,
↪ Cost of fencing = 5.20 × 820
➤ Cost of fencing = Rs 4264
∴ The cost of fencing it's boundary is Rs 4264 .