The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.

Answer:
6.25 square units
Step-by-step explanation:
You want the area of the enclosing square in the figure shown.
The side of the equilateral triangle is shown as being 1 unit. Then half its width is 1/2 unit, making the width of the larger square be 1+1+1/2 = 2.5 units.
The area of the enclosing square is the square of its width:
A = s²
A = (2.5 units)² = 6.25 units²
The area of the large square is 6.25 square units.