The problem states that the area of an equilateral triangle is numerically equal to its perimeter.

The formula for the area of an equilateral triangle is √3/4 * side^2 and the formula for the perimeter is 3 * side.

So, we can set up the equation as follows:

√3/4 * side^2 = 3 * side

Solving for side, we get side = 3 * 4/√3 = 12/√3 = 4√3.

So, the side of the triangle is 4√3 units.

The perimeter of the triangle is 3 * side = 3 * 4√3 = 12√3 units.

Using the approximation √3 ≈ 1.732, we find that the perimeter is approximately 12 * 1.732 = 20.78 units, rounded to two decimal places.

Question

The problem states that the area of an equilateral triangle is numerically equal to its perimeter.

The formula for the area of an equilateral triangle is √3/4 * side^2 and the formula for the perimeter is 3 * side.

So, we can set up the equation as follows:

√3/4 * side^2 = 3 * side

Solving for side, we get side = 3 * 4/√3 = 12/√3 = 4√3.

So, the side of the triangle is 4√3 units.

The perimeter of the triangle is 3 * side = 3 * 4√3 = 12√3 units.

Using the approximation √3 ≈ 1.732, we find that the perimeter is approximately 12 * 1.732 = 20.78 units, rounded to two decimal places.

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