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An irregular plane figure drawn on graph paper is framed 15 by 40 rectangle.To find its area,10,000 random points are generated,and 5,710 of them land inside the irregular region what is the area of the irregular region to the nearest integer

Respuesta :

Answer:  343 square units

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Explanation:

  • A = number of points that land inside the irregular figure
  • B = number of randomly generated points total

In this case,

  • A = 5,710
  • B = 10,000

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

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