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A shape has vertices: A(-2,-3), B(-2,4), C(4, -3). Find the area of the shape

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2 Answers

3 votes

Answer:

12cm²

Explanation:

User Studentu
by
4.9k points
0 votes

Answer:

  • 21 units²

Explanation:

Given vertices:

  • A(-2,-3), B(-2,4), C(4, -3)

We can observe that:

1. Points A and B have same x-coordinate, it means the segment AB is vertical and its length is:

  • 4 - (-3) = 7 units

2. Points A and C have same y-coordinate, it means the segment AC is horizontal and its length is:

  • 4 - (-2) = 6 units

Since AB and AC intersect at point A, the shape is a right triangle with the base of AC and height of AB.

Use area formula to find its area:

  • A = 1/2bh
  • A = 1/2*6*7 = 21 units²
User Litelite
by
5.5k points