Question

Find the area of the trapezoid. helppppopop thank you

Answer 1

`(4)/(3)\:\mathrm{cm^2}`

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
`n` values, add all the values in the set and divide by
`n`. 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
`(4+12)/(2)=(16)/(2)=8`

Thus, the area of the trapezoid is
`8\cdot (1)/(6)=(8)/(6)=\boxed{(4)/(3)\:\mathrm{cm^2}}`