trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 16 square units 24…
trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 16 square units 24 square units 32 square units 48 square units
Answer
Explanation:
Step 1: Identify coordinates of vertices
From the graph, vertices are A(-3, -1), B(-2, 2), C(2, 2), D(5, -1).
Step 2: Calculate lengths of the two bases
Upper base BC: distance between B and C on x-axis: (2 - (-2) = 4) units.
Lower base AD: distance between A and D on x-axis: (5 - (-3) = 8) units.
Step 3: Determine the height
Vertical distance between the two bases (y-coordinate difference): (2 - (-1) = 3) units.
Step 4: Apply trapezoid area formula
Area = (\frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} = \frac{1}{2} \times (4 + 8) \times 3).
Answer:
24 square units