Question

Ter 1: Interval Notation and Set Notation > Section Exercises 1.1 > Exercise 37

You are marking a rectangular paintball zone that must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters Find the interval for
the length 2 of the rectangular paintball zone. Write your answer in interval notation,
The interval for z is

Answer 1

Kindly check explanation

Explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96