Question

find the area of this trapezoid.
6 cm
4 cm
8 cm
a =? cm²
area of a trapezoid
a = ½h(b₁ + b₂)

Explanation:

Step1: Identify the values

Identify \(h = 4\) cm, \(b_1=6\) cm, \(b_2 = 8\) cm.

Step2: Substitute into the formula

Substitute into \(A=\frac{1}{2}h(b_1 + b_2)\).
$$A=\frac{1}{2}\times4\times(6 + 8)$$

Step3: Simplify the expression

First calculate \(6+8 = 14\), then \(\frac{1}{2}\times4=2\), and finally \(2\times14\).
$$A = 2\times14=28$$

Answer:

\(28\)