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

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

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Answer:

  6.25 square units

Step-by-step explanation:

You want the area of the enclosing square in the figure shown.

Width

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.

Area

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.