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100 POINTS
(50 points each for the 2 people that can answer)

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

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Respuesta :

spectsoflearning

Answer:

12cm²

Step-by-step explanation:

mhanifa

Answer:

  • 21 units²

Step-by-step 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

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