Question

The area of a rectangular hexagon is 38cm^2. what is the area of a regular hexagon with sides four times as long?

Answer 1

What's a rectangular hexagon?

Answer 2

a normal hexagon ?? i guess haha

Answer 3

You mean "regular"?

Answer 4

Look at this:

Here you see a segment of length 1 unit on the left side.
On the right side you see a segment of length 2 units.
When you double the length of a segment, obviously its length becomes twice as large.

Answer 5

What would happen if these segments were sides of squares. What would happen to the area of the square?

Answer 6

Notice the squares above. When the side length is doubled, the area is not doubled. The area becomes 4 times what it was.