Explanation:

• To find the area of a triangle with sides 50 m, 70 m, and 80 m, you can use Heron's formula:

- Calculate the semi-perimeter, \( s = \frac{50 + 70 + 80}{2} = 100 \).

- Use Heron's formula for the area:

$$ \text{Area} = \sqrt{s(s-50)(s-70)(s-80)} $$

$$ \text{Area} = \sqrt{100 \times 50 \times 30 \times 20} = \sqrt{3000000} \approx 1732.05 \text{ square meters} $$

• For an equilateral triangle with side length \( x \):

- Area formula: $$ \text{Area} = \frac{\sqrt{3}}{4}x^2 $$

- Set this equal to the previously calculated area:

$$ \frac{\sqrt{3}}{4}x^2 = 1732.05 $$

- Solving for \( x \):

$$ x^2 \approx \frac{1732.05 \times 4}{\sqrt{3}} $$

$$ x \approx 63.2 $$

- 63.2 is the closest and correct option, matching Option 2.

-