The length of a rectangle must be 6 centimeters more than the width, and the perimeter must be at least 36 centimeters. What is the range of values for the width?
A) At least 6 centimeters
B) At least 12 centimeters
C) No more than 12 centimeters
D) At most 6 centimeters

Question

Quizplus · Accepted Answer

The perimeter P of a rectangle is given by P = 2(length + width). If the length is 6 cm more than the width (L = W + 6), then the equation becomes 2(W + 6 + W) ≥ 36. Simplifying gives 4W + 12 ≥ 36, which leads to 4W ≥ 24, so W ≥ 6. Thus, the width must be at least 6 centimeters.

The Length of a Rectangle Must Be 6 Centimeters More