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Answer:
Perimeter = 210 m
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Question:
- The area of a rectangular field whose length is twice its breadth is 2450m². Find the perimeter of field.
Answer:
Given:
- Area of rectangular field = 2450m²
- Length of field is twice its breadth.
To Find:
- Perimeter of field?
Solution:
Given that length of a rectangular field is twice its breadth and area is 2450m²
Formulas related to this question:
_________________
To find Perimeter of rectangular field, first of all we need to find Length and breadth of rectangular field [Consider formula]
Let suppose that breadth of rectangle is x.
∴ Length of rectangle will be 2x.
Now, we have :
- Area of rectangular field = 2450m²
- Length of rectangular field = 2x
- Breadth of rectangular field = x
Area of rectangular field = Length × Breadth
→ 2450 = 2x × x
→ 2450 = 2x²
→ x² = 2450/2
→ x² = 1225
→ x = √1225
→ x = 35
Therefore,
- Breadth of rectangular field = x = 35m
- Length of rectangular field = 2x = 70m
Perimeter of rectangular field = 2(Length + Breadth)
→ Perimeter of rectangular field = 2(70 + 35)
→ Perimeter of rectangular field = 2 × 105
→ Perimeter of rectangular field = 210
Therefore,
- Perimeter of rectangular field = 210m
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