For problem #1 There is a formula to find the measure of each interior angle in aNy polygon. This formula is (n-2)*180 divided by n
n stands for the number of sides of a polygon
In this case we have a NONAGON so the value of n would be 9
Plug that value of n into the formula and you should get your answer in degree units ;)
For #2, the first shape is a trapezoid. There is a formula for the area of a trapezoid and this is Area= [tex] \frac{a+b}{2}*h [/tex]
a= the base of the trapezoid (let's say that is 9 units)
b= the other base of the trapezoid (this would be 15 units)
h= the height of the trapezoid (8 units)
Plug the numbers into the formula I gave you and you should get your answer in units squared
b) The second shape is a regular hexagon. We know it's regular because they show you the tick marks that means that all the sides in that hexagon are the same length.
The formula is Area = [tex] \frac{1}{2}*a*p [/tex]
a= the apothem which is the length going from the center straight down to the edge forming a 90-degree angle. They give you this length in the drawing which is 3 units.
p= perimeter The perimeter can be found by adding up all the sides of the hexagon. They tell you each side is 4 units and the hexagon has 6 sides, so the perimeter is 4+4+4+4+4+4= 24 units
Plug the numbers into the formula I gave you and you should get your answer in units squared
c) To find the area of the next shape, you can split the figure into three different shapes composed by a parallelogram, a trapezoid, and a rectangle.
I already gave you the formula to find the Area of the trapezoid so I hope you can figure that out. If you struggle, reach out and I can help.The area of a parallelogram is
A=base*height and the area of a rectangle is
A=side*sideAdd up those 3 areas and you will get your answer!
