How to find the length of the side of a hexagon

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SAT Math › How to find the length of the side of a hexagon

Questions 1 - 1

Hexagon 2

The provided image represents a track in the shape of a regular hexagon with perimeter one fourth of a mile.

Teresa starts at Point A and runs clockwise until she gets halfway between Point E and Point F. How far does she run, in feet?

$990\textup{ feet}$

$660\textup{ feet}$

$770\textup{ feet}$

$880\textup{ feet}$

$1100\textup{ feet}$

One mile is equal to 5,280 feet; one fourth of a mile is equal to

$\frac{1}{4} \times 5, 280 = 1,320 \textup{ feet}$

Each of the six congruent sides measures one sixth of this, or

$\frac{1}{6} \times 1,320 = 220\textup{ feet}$

Teresa runs clockwise from Point A to halfway between Point E and Point F, so she runs along four and one half sides, for a total of

$4 \frac{1}{2} \times 220 = 990\textup{ feet}$