Question

Plot and connect the following points: P(1, −4), Q(5, −2), R(9, −4), S(7, −8), and T(3, −8). Give the best name for the polygon, and determine the area.

Answer 1

Answer:

The area of the pentagon is = 31.5

Step-by-step explanation:

First, we determine the perimeter of the "Pentagon" drawn in the attachment:

$p=4+4+4+4.5+4.5=21$

Now, we'll check the formula for pentagons:

$a=\frac{perimeter x apothem}{2}$

we calculate the apothem by placing a 90° angle in one of the sides of the shape. It is equal to:

apothem=3

then, we can substitute the values in the formula

$a=\frac{21(perimeter) x 3(apothem)}{2} =\frac{63}{2} =31 \frac{1}{2} or 31.5$

Let me know if you have questions :D