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.

52 units squared 56 units squared 64 units squared 72 units squared


YES IT IS MULTIPLE CHOICE ANSWER FOR 5O POINTS

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=((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=((9 units+7units)(8units))/(2) A=64 units^(2)`

The answer is:
`64 units^(2)`