Answer:
Perimeter is 35 units.
Step-by-step explanation:
A heptagon has 7 equal sides.
Given the length of two consecutive vertices, A(-2-5) and B(1,-9).
We can find the length of AB and multiply by 7.
Recall the distance formula;

The length of AB is





Therefore the perimeter is
.
L = W+4
A = L x W
A = w + 4 x w
A = w² +4w
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
Line CA is a straight line, meaning it adds up to 180°
Line BE splits the line into two supplementary angles, because when the two angles are added together they will equal 180°
Using the rule of supplementary angles, we can then make the equation 3x + 8x + 15 = 180
Now, simplify the equation by combining like terms
11x + 15 = 180
To solve, isolate x
11x + 15 = 180
11x = 165
x = 15
The diameter of a circle is 16 kilometers. Then the area of the circle is 
<u>Solution:</u>
Given that , the diameter of a circle is 16 kilometers
We have to find the area of the circle .
Radius is half of diameter.

<em><u>The area of circle is given as:</u></em>

Hence, the area of the circle is 201.062 