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

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Discussion Overview

The discussion revolves around calculating the perimeter of a regular hexagon and the perimeter of the side chambers of the Lincoln Memorial, which are rectangular in shape. The scope includes mathematical reasoning and problem-solving related to geometry.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • Zoe asks for the length of each side of a regular hexagon with a perimeter of 42 yards.
  • One participant explains that the length of each side of the hexagon is 7 yards, derived from dividing the perimeter by 6.
  • Another participant provides the formula for the perimeter of a rectangle and calculates the perimeter of the Lincoln Memorial's side chambers as 202 feet, using the given dimensions.
  • A subsequent post questions a potential typo in the dimensions used for the perimeter calculation of the side chambers.
  • A participant acknowledges the typo humorously, indicating a light-hearted tone in the discussion.

Areas of Agreement / Disagreement

Participants generally agree on the calculations for the hexagon and the perimeter of the side chambers, though there is a minor disagreement regarding the dimensions used in the perimeter calculation, which remains unresolved.

Contextual Notes

The discussion includes a potential typo in the dimensions for the perimeter calculation of the side chambers, which could affect the accuracy of the result but is not explicitly resolved.

Jameson
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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?
 
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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:

$P=2(38\text{ ft}+63\text{ ft})=202\text{ ft}$
 
Last edited:
MarkFL said:
$P=2(38\text{ ft}+62\text{ ft})=202\text{ ft}$
Another of your typos there, Mark? (Smirk) (Shake)
 
D'Oh! I am having one of those nights...(Tmi)(Doh)(Emo)

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

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