Answer:
(A). The perimeter of the octagon is greater than that of the hexagon.
Step-by-step explanation:
Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be=
=
=
=
Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.
Now, from ΔQMP. we have
Thus, the perimeter of the hexagon is:
Thus, the perimeter of hexagon is 6 units.
Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be=
=
=
=
Now, since AP is the angle bisector of the one of the angle of the octagon, therefore .
From ΔAPC, we have
Now, Perimeter of octagon is:
Thus, the perimeter of octagon is 6.122 units.
Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.
