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585 ft2

Start by dividing the hexagon into 6 equilateral triangles, each one will have 15-ft sides. Now divide one of these triangles in half to make a right triangle with one leg 7.5ft and the hypotenuse 15ft. The other leg will be the altitude of the triangle. (sorry it's hard to explain without being able to draw a diagram)

Call that second side h; h2 = 152-7.52 = 225-56.25 = 168.75.

h = radical 168.75 = about 12.99.

The area of one equilateral triangle = (1/2)bh = (1/2)x15x12.99 = about 97.4

Area of the hexagon = 6x97.4 = approx 585.

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11y ago
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Q: What is the square footage of a hexagon building with 15 ft sides?
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