Question

find the area of the figure. enter the correct number in the box. hide hints the area of a trapezoid with bases (b_1) and (b_2) and height (h) is given by (a = (\frac{b_1 + b_2}{2})h).

Explanation:

Step1: Identify bases and height

From the graph, assume the trapezoid has \(b_1 = 4\), \(b_2= 2\) and \(h = 3\).

Step2: Apply trapezoid - area formula

Use \(A=\frac{b_1 + b_2}{2}\times h\), substitute \(b_1 = 4\), \(b_2 = 2\) and \(h = 3\) into the formula: \(A=\frac{4 + 2}{2}\times3\).
First, calculate the sum of the bases: \(4+2 = 6\). Then, \(\frac{6}{2}=3\), and \(3\times3 = 9\).

Answer:

9