Question

what is the area of the figure shown?
the area is square units.
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine the lengths of the two bases and the height

Assume each grid is 1 unit.
By counting the grids:
The length of the top - base \(b_1 = 14\) units.
The length of the bottom - base \(b_2 = 20\) units.
The height \(h=10\) units.

Step2: Use the trapezoid area formula

The area formula of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\).
Substitute \(b_1 = 14\), \(b_2 = 20\), and \(h = 10\) into the formula:

$$
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Answer:

\(170\)