Question

In a regular pentagon ABCDE and regular hexagon MNOPQR, 3CD = 2PQ and CD + QR = 10. Which is 4BC + 5PQ?
Answer

46

42

44

40

Answer 1

all the sides have same length in regular polygons

Answer 2

so AB = BC = CD = DE = EA

and

MN = NO = OP = PQ = QR = RM

Answer 3

you can write given equations as :

3x = 2y
x+y = 10

Answer 4

can you solve x and y ?

Answer 5

would the final answer be 46?

Answer 6

x = 4
y = 6

Answer 7

46 is right ! good job !!

Answer 8

Thank you!