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:
[tex]p=4+4+4+4.5+4.5=21[/tex]
Now, we'll check the formula for pentagons:
[tex]a=\frac{perimeter x apothem}{2}[/tex]
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
[tex]a=\frac{21(perimeter) x 3(apothem)}{2} =\frac{63}{2} =31 \frac{1}{2} or 31.5[/tex]
Let me know if you have questions :D
