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question 1 - 4 (ma 9 - 12, gr 3.4) part of mashas duties as park ranger…

Question

question 1 - 4 (ma 9 - 12, gr 3.4) part of mashas duties as park ranger require her to patrol the triangular area between the fountain, the parking lot, and the visitors center, as shown on the coordinate grid. parking lot fountain -8 -6 -4 -2 2 4 6 8 -2 -4 -6 -8 visitors center

Explanation:

Step1: Identify the base and height

Assume the distance between the parking - lot and the fountain as the base $b$ and the vertical distance from the visitor's center to the line connecting the parking - lot and the fountain as the height $h$. From the grid, if each square represents 1 unit, the base $b$ has a length of 8 units and the height $h$ has a length of 6 units.

Step2: Apply the triangle - area formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Substitute $b = 8$ and $h = 6$ into the formula.
$A=\frac{1}{2}\times8\times6$
$A = 24$ square units

Answer:

24 square units