Answer :
Answer:
36m <= L <= 96m
Explanation:
Since the paintball is rectangular, the formula for the perimeter P of a rectangle is:
P = 2(L + B)
Where L = length
B = width
Given that the rectangular paintball zone must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters.
When the perimeter is least, the length will be achieved by substituting the perimeter and the width into the formula. That is,
140 = 2(L + 34)
L + 34 = 140/2
L = 70 - 34
L = 36m
When the perimeter is maximum, that is, 260m. Substitute it and the width into the formula
260 = 2(L + 34)
L + 34 = 260/2
L + 34 = 130
L = 130 - 34
L = 96.
Therefore, the interval for the length of the rectangular paintball zone will be:
36m to 96m. That is
36m <= L <= 96m