Question

6 square meters 16 square meters 28 square meters 49 square meters

Explanation:

Step1: Calculate the area of the square

The area formula for a square is \(A = s^2\), where \(s\) is the side - length. Given \(s = 2m\), then \(A_{square}=2^2=4\) square meters.

Step2: Calculate the area of one triangular face

The area formula for a triangle is \(A=\frac{1}{2}bh\). Here, \(b = 2m\) and \(h = 3m\), so \(A_{triangle}=\frac{1}{2}\times2\times3 = 3\) square meters.

Step3: Calculate the total surface area

The net has 1 square and 4 congruent triangles. The total surface area \(A=A_{square}+4\times A_{triangle}\). Substitute the values: \(A = 4+4\times3\). First, calculate \(4\times3 = 12\), then \(A=4 + 12=16\) square meters.

Answer:

16 square meters