Question

Polygon ABCD has the following vertices: A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4) Calculate the area of the polygon.

Answer 1

To solve this problem you must apply the proccedure shown below:

1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:

$A=\frac{(B+b)h}{2}$

Where $B$ is the larger base, $b$ is the smaller base and $h$ is the height.

2. The dimensions are:

$B=9units\\ b=7units\\ h=8units$

3. Substitute values:

$\\A=\frac{(9 units+7units)(8units)}{2} A=64 units^{2}$

The answer is: $64 units^{2}$

Answer 2

Answer:

64 units

Step-by-step explanation: