naveeofficial2972 naveeofficial2972
  • 25-05-2021
  • Mathematics
contestada

PLEASE HELP!!!

ABC maps the outline of a new park. What is the area of the park?

the multiple choice answers are in the photo
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Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 28-05-2021

Answer:

[tex]Area = 10[/tex]

Step-by-step explanation:

Given

[tex]A = (2,1)[/tex]

[tex]B =(4,7)[/tex]

[tex]C =(6,3)[/tex]

Required

The area of the park

The outline is a triangle and as such, the area is calculated using:

[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]

This gives:

[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|-20|[/tex]

Remove absolute bracket

[tex]Area = \frac{1}{2}*20[/tex]

[tex]Area = 10[/tex]

Answer Link

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