Question

16 given the quadrilateral, find the area. let the units be in feet.

Explanation:

Step1: Identify the base and height

By observing the graph, we can consider the horizontal - side as the base and the vertical - side as the height. The length of the horizontal side (base $b$) from $S$ to $T$: The $x$ - coordinate of $S$ is approximately $-150$ and the $x$ - coordinate of $T$ is $0$, so $b = 150$ feet. The length of the vertical side (height $h$) from $T$ to $U$: The $y$ - coordinate of $T$ is $50$ and the $y$ - coordinate of $U$ is $200$, so $h = 150$ feet.

Step2: Use the formula for the area of a rectangle

The quadrilateral $STUV$ is a rectangle. The area formula for a rectangle is $A=b\times h$. Substitute $b = 150$ and $h = 150$ into the formula.
$A=150\times150$
$A = 22500$ square feet

Answer:

$22500$ square feet