hayleyyawn
hayleyyawn hayleyyawn
  • 21-07-2019
  • Mathematics
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Figure ABCD has vertices A(-2,3), B(4,3), C(4,-2), and D(-2,0). What is the area of figure ABCD

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 21-07-2019

Answer:

24 units

Step-by-step explanation:

As we can see in the attached picture. The area will be given by the sum of the area of the rectangle and the area of the triangle in the bottom.

The rectangle has a base of 6 units and a height of 3 units. Therefore:

A1 = bh = 6*3 = 18 units.

The triangle has a base of 6 units and a height of 2 units. Therefore:

A2 = (1/2)bh = (6*2)/ 2 = 6 units

Then, the total area is:

A = A1 + A2 = 6 + 18 = 24 units

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