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Find the area. You must show all work to receive credit. (10 points)

Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D

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MrRoyalidn

The area of the figure is 51.4 unit²

The complete question

Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6

See attachment for the figure

The area of the figure

The figure can be divided into the following shapes:

  • Trapezoid 1: Opposite sides = (8 and 5) and height = 5
  • Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2
  • Triangle: Base = 4.8 and height = 4

The area of the trapezoid is:

Area = 0.5 * (Sum of opposite sides) * height

So, we have:

Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5

Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8

The area of the triangle is:

Area = 0.5 * Base * Height

This gives

Triangle = 0.5 * 4.8 * 4 = 9.6

Add the individual areas

Area = 32 + 9.8 + 9.6

Evaluate the sum

Area = 51.4

Hence, the area of the figure is 51.4 unit²

Read more about areas at:

https://brainly.com/question/24487155

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