Question

trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 10 square units 12 square units 20 square units 24 square units

Explanation:

Step1: Identify trapezoid bases and height

Let's assume the parallel - sides of the trapezoid are the bases. By counting the grid units, if we consider the vertical distance between the parallel sides as the height \(h\), and the lengths of the parallel sides as \(b_1\) and \(b_2\). Suppose the length of one base \(b_1 = 4\) units, the length of the other base \(b_2 = 6\) units, and the height \(h = 2\) units.

Step2: Apply the trapezoid area formula

The formula for the area of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\). Substitute \(b_1 = 4\), \(b_2 = 6\), and \(h = 2\) into the formula: \(A=\frac{(4 + 6)\times2}{2}\). First, calculate the sum of the bases: \(4+6 = 10\). Then, \(10\times2=20\), and \(\frac{20}{2}=10\).

Answer:

10 square units