Question

What is the area of the quadrilateral?

(1 point)
Responses

460 cm2
460 cm squared

220 cm2
220 cm squared

480 cm2
480 cm squared

240 cm2
240 cm squared
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Given a trapezoid
24cm base
20cm top
10cm inside

Answer 1

To find the area of a trapezoid, we 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 and \( h \) is the height.

In your case:
- \( b_1 = 24 \) cm (the length of the bottom base)
- \( b_2 = 20 \) cm (the length of the top base)
- \( h = 10 \) cm (the height)

Now plugging in the values:

\[
\text{Area} = \frac{1}{2} \times (24 \text{ cm} + 20 \text{ cm}) \times 10 \text{ cm}
\]

\[
= \frac{1}{2} \times 44 \text{ cm} \times 10 \text{ cm}
\]

\[
= \frac{1}{2} \times 440 \text{ cm}^2
\]

\[
= 220 \text{ cm}^2
\]

So, the area of the trapezoid is **220 cm²**.