Question

apply it
use what you learned to solve these problems.
6 forest managers plant trees in a triangular section of a state park. the managers model the area on grid paper. each grid square represents 1 km². what is the area of the triangular section where they plant trees? show your work.

Explanation:

Step1: Recall area formula for triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Determine base and height from grid

Count the number of grid - squares for the base and height. Suppose the base $b$ (horizontal length) is 6 grid - squares and the height $h$ (vertical length) is 3 grid - squares. Since each grid square represents $1\ km^{2}$, the base $b = 6\ km$ and height $h=3\ km$.

Step3: Calculate the area

Substitute $b = 6$ and $h = 3$ into the formula $A=\frac{1}{2}bh$. So $A=\frac{1}{2}\times6\times3=9\ km^{2}$.

Answer:

$9\ km^{2}$