Question

Given that QRVTSU is a regular hexagon, what are the lengths of QR and ST ?

Answer 1

QR = 37

ST = 37

Explanation:

QR = ST

3y + 19 = 6y + 1

19 -1 = 6y - 3y

18 = 3y

y = 18/3 = 6

substitute

QR = 3(6) + 19 = 37

ST = 6(6) + 1 = 37

Answer 2

QR = 37

ST = 37

Explanation:

length of all sides are equal

so QR = ST

3y + 19 = 6y + 1

combine like terms

19 -1 = 6y - 3y

18 = 3y

y = 18/3

y = 6

QR = 3(6) + 19

QR = 37

ST = 6(6) + 1

ST = 37