SAT Math : How to find the length of the side of a pentagon

Study concepts, example questions & explanations for SAT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #1 : Pentagons


The above diagram shows a pentagonal track with perimeter one third of a mile. Adrianne starts at Point A and runs clockwise until she gets halfway between Points D and E. Which of the following choices is closest to the number of feet she runs?

Possible Answers:

1,200 feet

1,400 feet 

1,300 feet

1,000 feet

1,100 feet

Correct answer:

1,200 feet


The perimeter of the pentagonal track is one third of a mile; one mile is equal to 5,280 feet, so the perimeter is 


Each side of the pentagon has length one fifth of its perimeter, or


Adrianne runs three and one half sides, or


This makes 1,200 feet the closest, and correct, choice.

Learning Tools by Varsity Tutors