Question

What is the area of the trapezoid?
height - 3 mm
bottom - 6 mm
top- 2 mm
right side- 4mm
square millimeters

Answer 1

To find the area of a trapezoid, the formula is:

\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]

where \( b_1 \) and \( b_2 \) are the lengths of the two bases (top and bottom) and \( h \) is the height.

In this case:
- The length of the bottom base \( b_1 = 6 \) mm
- The length of the top base \( b_2 = 2 \) mm
- The height \( h = 3 \) mm

Substituting these values into the formula:

\[
\text{Area} = \frac{1}{2} \times (6 + 2) \times 3
\]
\[
= \frac{1}{2} \times 8 \times 3
\]
\[
= \frac{1}{2} \times 24
\]
\[
= 12 \text{ mm}^2
\]

Thus, the area of the trapezoid is \( 12 \) square millimeters.