Zoe's Question from FB (Perimeter of Lincoln Memorial)

[Jameson]

Zoe writes:

The perimeter of a regular hexagon is 42 yards what is the length of each side?
Each of the side chambers of the Lincoln Memorial are 38 feet wide and 63 feet long. What is the perimeter of one of the side chambers?

 

[MarkFL]

Hello Zoe,

A regular hexagon has six equal sides. If the perimeter of the regular hexagon is 42 yards, then the length of each side would be one sixth of the perimeter, or 7 yards.

A rectangle, having a length $L$ and a width $W$ has a perimeter $P$ that is made up of two sides of measure $W$ and two sides of measure $L$, that is:

$P=2W+2L=2(W+L)$

The rectangular side-chambers of the Lincoln Memorial, whose measures are given as:

$W=38\text{ ft}$

$L=63\text{ ft}$

would then have a perimeter equal to:

$P=2(38\text{ ft}+63\text{ ft})=202\text{ ft}$

 

[Opalg]

$P=2(38\text{ ft}+62\text{ ft})=202\text{ ft}$

Another of your typos there, Mark? (Smirk) (Shake)

 

[MarkFL]

D'Oh! I am having one of those nights...(Tmi)(Doh)(Emo)

Hey, at least I know everyone is paying attention here! (Wink)

 

[CellCoree]

The perimeter of a regular hexagon is equal to 6 times the length of one of its sides. Therefore, to find the length of each side, we can divide the given perimeter of 42 yards by 6. This gives us a length of 7 yards for each side of the hexagon.

To find the perimeter of one of the side chambers of the Lincoln Memorial, we can use the formula for perimeter, which is the sum of all sides. In this case, the perimeter would be (38 feet + 63 feet) + (38 feet + 63 feet) = 202 feet.

It is important to note that the units for the perimeter of the hexagon and the side chamber are different, so we cannot directly compare them. However, we can convert the length of one side of the hexagon from yards to feet, which would give us a length of 21 feet. This is shorter than the perimeter of the side chamber, indicating that the side chamber is a larger area than the hexagon.