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find the area of the trapezoid. helppppopop thank you

Find The Area Of The Trapezoid Helppppopop Thank You class=

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Answer:

[tex]\frac{4}{3}\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a trapezoid can be found by multiplying the average of its bases and its height.

We're given:

  • One base of 4 cm
  • One base of 12 cm
  • Height of 1/6 cm

To find the average of a set of [tex]n[/tex] values, add all the values in the set and divide by [tex]n[/tex]. Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.

The average of the bases is therefore [tex]\frac{4+12}{2}=\frac{16}{2}=8[/tex]

Thus, the area of the trapezoid is [tex]8\cdot \frac{1}{6}=\frac{8}{6}=\boxed{\frac{4}{3}\:\mathrm{cm^2}}[/tex]

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