Question

find the area. a = ? cm². area of a trapezoid \\( \frac{(b_1 + b_2)}{2} \cdot h \\). the trapezoid has top base 15 cm, height 9 cm, bottom base 13 cm.

Explanation:

Step1: Identify the values of \( b_1 \), \( b_2 \), and \( h \)

From the trapezoid, \( b_1 = 15 \) cm, \( b_2 = 13 \) cm, and \( h = 9 \) cm.

Step2: Substitute into the trapezoid area formula

The formula for the area of a trapezoid is \( A=\frac{(b_1 + b_2)}{2}\cdot h \). Substituting the values:
\[

$$\begin{align*} A&=\frac{(15 + 13)}{2}\cdot 9\\ &=\frac{28}{2}\cdot 9\\ &= 14\cdot 9 \end{align*}$$

\]

Step3: Calculate the result

\( 14\times9 = 126 \)

Answer:

126