Fowler Pope
02/26/2024 · Junior High School
5. ¿Cuál es el área de un trapecio con bases de 12 cm y 6 cm , y una altura de 4 cm ?
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Step-by-step Solution
El área \( A \) de un trapecio se calcula con la fórmula:
\[
A = \frac{(b_1 + b_2) \cdot h}{2}
\]
donde \( b_1 \) y \( b_2 \) son las longitudes de las bases y \( h \) es la altura.
En este caso, las bases son \( b_1 = 12 \) cm y \( b_2 = 6 \) cm, y la altura \( h = 4 \) cm. Sustituyendo estos valores en la fórmula:
\[
A = \frac{(12 + 6) \cdot 4}{2}
\]
\[
A = \frac{18 \cdot 4}{2}
\]
\[
A = \frac{72}{2}
\]
\[
A = 36 \text{ cm}^2
\]
Por lo tanto, el área del trapecio es \( 36 \) cm².
Quick Answer
El área del trapecio es \( 36 \) cm².
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