For any regular polygon, the area can be expressed in terms of its apothem
![a](https://tex.z-dn.net/?f=a)
and its perimeter
![p](https://tex.z-dn.net/?f=p)
like this:
![A =\frac{ap}{2}](https://tex.z-dn.net/?f=A%20%3D%5Cfrac%7Bap%7D%7B2%7D)
For the problem the apothem
![a=4\sqrt{3}](https://tex.z-dn.net/?f=a%3D4%5Csqrt%7B3%7D)
So we need to find the perimeter. A regular hexagon is built up by equilateral triangles, so the radius is equal to each side, therefore the perimeter is given by:
![p=6r=6(8)=48](https://tex.z-dn.net/?f=p%3D6r%3D6%288%29%3D48)
Finally, if we substitute in the first equation:
Answer:
8
Step-by-step explanation:
AB is 3 cm and AC is 2 cm, and since triangle ABC is an isosceles triangle, BC can either be 3 cm or 2 cm. We want the longest perimeter possible, so make BC 3 cm, and add the side lengths to find the perimeter.
P = 3 + 3 + 2 = 8.
above is the solution to the question
Answer:
470
Step-by-step explanation:
Replace x with 10: 470
5(10)(10 - 3( = 500 - 30 = 470
470
Always remember that the sum of the 3 inside angles is always 180 degrees. That'll get you through the majority of these problems.