steameddragon52
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The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 7.8 inches and the length of each side is 9 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 9 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 7.8 inches.

Part A: Describe how you can decompose this shape into triangles. (2 points)

Part B: What would be the area of each triangle? (5 points)

Part C: Using your answers above, determine the area of the table's surface.

Sagot :

Answer:

Step-by-step explanation:

The distance from the center of the shape to the center of each side is 10.4 ... A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 12 inches. ... This perpendicular is labeled as 10.4 inches. ... Part C: Using your answers above, determine the area of the table's surface.

mhanifa

Answer:

  • See below

Step-by-step explanation:

Part A

  • You can connect the center of the hexagon with vertices.
  • It will create 6 equal triangles.

Part B

Each triangle will have area:

  • A = 1/2bh, where b is the length of each sides of the hexagon, h is the perpendicular from the center to side

Find the area:

  • A = 1/2*9*7.8 = 35.1 in²

Part C

The table's surface area is the area of all 6 triangles:

  • S = A*6
  • S = 35.1*6 = 210.6 in²
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