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Shkiper50 [21]
3 years ago
6

10 pats!! Find the area of the following shape. You must show all work to receive credit!!

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

  54 units²

Step-by-step explanation:

A line from E to B will divide the figure into triangle ABF and trapezoid BEDC. The triangle has base BF = 10 and height AE = 3. The area of that is ...

  A = 1/2bh = 1/2·10·3 = 15 . . . . units²

The trapezoid has bases DC = 7 and EB = 6, and height BC = 6. The area of it is ...

  A = 1/2(b1 +b2)h = (1/2)(7+6)(6) = 39 . . . . units²

The total area of the figure is the sum of these:

  figure area = triangle area + trapezoid area

  = 15 units² +39 units² = 54 units²

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