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Area is 1500√3 m².
Step-by-step explanation:
Let the sides be 3x , 5x and 7x
Perimeter = 300 m
Perimeter = sum of all the sides of triangle
3x + 5x + 7x = 30015x = 300x = 300/15x = 20
Sides are,
3x = 60 m5x = 100 m7x = 140 m
Semi perimeter,
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Area [Heron's formula]
√150 (150-60) (150-100) (150-140) m²√150 × 90 × 50 × 10 m²1500√3 m²
∴ Area is 1500√3 m².
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