Question

question 1
the triangular section labeled forest on the map represents a forested area along the walking path. each grid
square represents 100 feet by 100 feet.
using the coordinates of the triangles vertices shown on the map, which value represents the area of the
forest?
a. 160,000 square feet
c 320,000 square feet
question 2
the entrance to the park is at the origin. a person begins at the entrance walks along the walking path.
following each connected segment in order until reaching point w on the map. using the coordinates shown on
the diagram and rounding to the nearest hundred feet, what is the approximate total distance the person
walked?

Explanation:

Step1: Find the base and height of the triangle

Assume the vertices of the forest - triangle have coordinates such that the base \(b\) and height \(h\) can be calculated from the grid. If we count the number of grid - squares for the base and height. Let's say the base \(b = 32\) units (where each unit is 100 feet) and the height \(h=20\) units (where each unit is 100 feet).
The formula for the area of a triangle is \(A=\frac{1}{2}bh\).

Step2: Substitute the values of \(b\) and \(h\) into the formula

First, \(b = 32\times100=3200\) feet and \(h = 20\times100 = 2000\) feet.
Then \(A=\frac{1}{2}\times3200\times2000\).

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Answer:

C. 320,000 square feet