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Mathematics 16 Online
OpenStudy (anonymous):

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

OpenStudy (mathstudent55):

What's a rectangular hexagon?

OpenStudy (anonymous):

a normal hexagon ?? i guess haha

OpenStudy (mathstudent55):

You mean "regular"?

OpenStudy (mathstudent55):

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. |dw:1398440283035:dw|

OpenStudy (mathstudent55):

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

OpenStudy (mathstudent55):

|dw:1398440467045:dw|

OpenStudy (mathstudent55):

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

OpenStudy (mathstudent55):

|dw:1398440641188:dw|

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