Question

The length of a rectangle is 3 times the width. if the perimeter is to be greater than or equal to 104 meters. what are the possible values for the width?

Answer 1

x=width
3x=length
2x+2·3x≥104
8x≥104
x≥13

Answer 2

Let L = length, W = width, and formula for perimeter (each side added) is
P = 2L + 2W

The first statement tells us L = 3W so we can substitute 3W for L in the formula.
P = 2(3W) + 2W

The 2nd statement tells us to make the expression for the perimeter into an inequality where it is ≥ (greater than or equal to) 104
2(3W) + 2W ≥ 104

We only need to solve this to find the possible values for W/
2(3W) + 2W ≥ 104
8W ≥ 104 ← result of simplifying left side
W ≥ 13 ← result of dividing both sides by 8

ANSWER: The width is greater than or equal to 13: W ≥ 13