If a parallelogram has vertices at (2, 3), (5, 3), (6, 1), and (3, 1), what is i

If a parallelogram has vertices at (2, 3), (5, 3), (6, 1), and (3, 1), what is its area?

If a parallelogram has vertices at (2, 3), (5, 3), (6, 1), and (3, 1), what is its area?

Step 1: Identify the coordinates of the vertices of the parallelogram: (2, 3), (5, 3), (6, 1), and (3, 1).
Step 2: Determine the base of the parallelogram. The base can be found by taking the x-coordinates of two points that are horizontally aligned. Here, the points (2, 3) and (5, 3) are aligned. Calculate the base: 5 - 2 = 3.
Step 3: Determine the height of the parallelogram. The height can be found by taking the y-coordinates of two points that are vertically aligned. Here, the points (6, 1) and (3, 1) are aligned. Calculate the height: 3 - 1 = 2.
Step 4: Calculate the area of the parallelogram using the formula: Area = base * height. Substitute the values: Area = 3 * 2 = 6.

Parallelogram Area Calculation – The area of a parallelogram can be calculated using the formula Area = base * height, where the base is the length of one side and the height is the perpendicular distance from that base to the opposite side.
Coordinate Geometry – Understanding how to determine the coordinates of vertices and how to calculate distances and heights using the coordinate plane.