Question

The area of a regular hexagon is 40 cm^2. What is the area of of a regular hexagon with sides five times as long?

Answer 1

I got 200 but I wanted to make sure I was correct.

Answer 2

Uh..Okay.

Answer 3

so first find the side of a regular hexagon than use the formula again by letting the side = 5 times of a regular hexagon
\[40 = x^23\sqrt{3}/2\]
\[x = \sqrt{\frac{40}{ 3\sqrt{3}/2}}\]
\[x = 4\sqrt{5}(3^{3/4})\]
\[NewHexagonArea = 3\sqrt{3}/2*(4\sqrt{5}(3^{3/4}))^2\]

Answer 4

sorry it's \[Area = side^2 * 3\sqrt{3}/2\]

Answer 5

Okay..I somewhat understand.

Answer 6

\[3\sqrt{3}/2*(5*4\sqrt{5}/3^{3/4})^2=1000\]
i missed 5 on last solution.

Answer 7

Thank you!

Answer 8

@Burningitdown you're very welcome