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If a parallelogram has vertices at (0, 0), (2, 3), (5, 3), and (3, 0), what is i

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Question: If a parallelogram has vertices at (0, 0), (2, 3), (5, 3), and (3, 0), what is its area?

Options:

  1. 6
  2. 8
  3. 10
  4. 12

Correct Answer: 8

Solution:

The area of a parallelogram can be calculated using the formula: Area = base * height. The base is 5 - 0 = 5 and the height is 3. Therefore, area = 5 * 3 = 15.

If a parallelogram has vertices at (0, 0), (2, 3), (5, 3), and (3, 0), what is i

Practice Questions

Q1
If a parallelogram has vertices at (0, 0), (2, 3), (5, 3), and (3, 0), what is its area?
  1. 6
  2. 8
  3. 10
  4. 12

Questions & Step-by-Step Solutions

If a parallelogram has vertices at (0, 0), (2, 3), (5, 3), and (3, 0), what is its area?
  • Step 1: Identify the vertices of the parallelogram. The vertices are (0, 0), (2, 3), (5, 3), and (3, 0).
  • Step 2: Determine the base of the parallelogram. The base can be found by measuring the distance between the points (0, 0) and (5, 0). The distance is 5 - 0 = 5.
  • Step 3: Determine the height of the parallelogram. The height is the vertical distance from the base to the opposite side. The height is 3.
  • Step 4: Use the area formula for a parallelogram: Area = base * height.
  • Step 5: Substitute the values into the formula: Area = 5 * 3.
  • Step 6: Calculate the area: Area = 15.
  • Area of a Parallelogram – The area 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 side to the opposite side.
  • Coordinate Geometry – Understanding how to determine the vertices of a shape in a coordinate plane and how to calculate distances and areas based on those coordinates.
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