The perimeter of the field is 320 m. If the length of a rectangular field is thrice its breadth, then find the area.
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5
Answer:
4800
b=40
l=120
area=4800
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• Given
- Perimeter of the field = 320 m
- Length of the rectangle is thrice its breadth
• To find
- Area of the field
• Solution
Let thr breadth of the field be x and the length of the field be 3x.
Using formula,
Perimeter = 2(l + b)
where,
- l = length of the rectangle
- b = breadth of the rectangle
Substituting their values,
⟶ 320 = 2(x + 3x)
⟶ 320 = 2(4x)
⟶ 320 = 8x
⟶ 320/8 = x
⟶ 40 = x
The value of x = 40
- The length of rectangle = 3x = 3 × 40 = 120 m
- The breadth of rectangle = x = 40 m
Using formula,
Area of rectangle = l × b
where,
- l = length of the rectangle
- b = breadth of the rectangle
Substituting their values,
⟶ 120 × 40
⟶ 4800 m²
Therefore, Area of the field is 4800 m²
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