Answer :

First we find the sides of the equally cut triangles formed from the original equilateral triangle.

Slant height of trapezium = Diagonal of square = 2 √2 cm

Smaller side of trapezium = 2 √3 cm

Perimeter of trapezium = 2√2 + 2√3 + 2√2 + (2 + 2√3 + 2)

⇒ Perimeter of trapezium = (4√2 + 4√3 + 4) cm

Area of trapezium =

⇒ Area of trapezium =

⇒ Area of trapezium = (4√3 + 4) cm^{2}

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