Answer:
4 + 4sqrt(10)
Explanation:
TA = square + 4(slant triangles)
Area of square = 2² = 4
Use pythagoras theorem to find the slant height 'h':
h² = 3² + 1²
h² = 9+1 = 10
h = sqrt(10)
Area of a triangle = ½×2×sqrt(10)
= sqrt(10)
TA = 4 + 4(sqrt(10))
TA = 4 + 4sqrt(10)
sqrt: square root