Question

A party is held in a large tent with a perimeter between 100 m and 150 m. A robot travels along

the perimeter to serve refreshments to guests. It is
programmed in such a way that it travels 3 metres,
then turns through an angle of x degrees clockwise, travels
another 3 metres, then turns through an angle of x degrees
clockwise, and so on, until it reaches its initial
position where the staff will top up the
refreshments. Given that the robot is only able
to turn through an integer value of x, find two
possible values of x and the corresponding
perimeters of the tent.​

Answer 1

Step-by-step explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°

Answer 2

Explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°