Respuesta :

Answer:

  84 cm²

Step-by-step explanation:

The figure has a uniform horizontal cross section, so its area is the product of that cross section length and its vertical dimension.

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  A = bh

  A = (6 cm)(14 cm) = 84 cm²

The area of the shape is 84 square centimeters.

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Additional comment

You could decompose the figure into a rectangle with base 6 and height 8, and a parallelogram with base 6 and height 14-8=6. The area formula is the same for each: A = bh, so the area of the composite figure is ...

  A = 6×8 +6×(14 -8)

  = 6×(8 +(14 -8))

  = 6×14 . . . . same as above.