Question

What is the area of the trapezoid?
height 4 cm
bottom 10 cm
left side 5 cm
right side 5 cm
top 4 cm
square cenimeters

Answer 1

To find the area of a trapezoid, you can use the formula:

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

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

For the trapezoid you provided:
- \( b_1 = 4 \) cm (top)
- \( b_2 = 10 \) cm (bottom)
- \( h = 4 \) cm (height)

Plugging these values into the formula gives us:

\[
\text{Area} = \frac{1}{2} \times (4 + 10) \times 4
\]

\[
= \frac{1}{2} \times 14 \times 4
\]

\[
= 7 \times 4
\]

\[
= 28 \text{ cm}^2
\]

Thus, the area of the trapezoid is \( 28 \) square centimeters.