Question

Find the area of the trapezoid. helppppopop thank you

Answer 1

Answer:

$\frac{4}{3}\:\mathrm{cm^2}$

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 $n$ 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 $\frac{4+12}{2}=\frac{16}{2}=8$

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