Answer:
The width of a rectangle with a length of 3 units within the set is approximately 46 units.
Step-by-step explanation:
Abstract:
This study examines the relationship between length and width in a set of rectangles, where it is observed that the length is inversely proportional to the width. The objective is to calculate the width of a rectangle when its length is given within this set of rectangles. By analyzing the provided data, it is possible to determine the width of a rectangle with a length of 3 units.
Introduction:
Rectangles are two-dimensional shapes characterized by their length and width. In the given set of rectangles, it is observed that the length is inversely proportional to the width. This relationship implies that as the length increases, the width decreases, and vice versa. In this research, we aim to calculate the width of a rectangle when its length is provided, using the inverse proportionality relationship observed in the set of rectangles.
Methodology:
To calculate the width of a rectangle with a length of 3 units within the given set, we will utilize the concept of inverse proportionality. Inverse proportionality states that the product of the length and width of a rectangle remains constant. By setting up an equation using the provided data, we can solve for the width of a rectangle with a given length.
Results and Discussion:
In the provided set of rectangles, one rectangle has a length of 23 units and a width of 6 units. By applying the concept of inverse proportionality, we can calculate the constant of proportionality as follows:
(length) × (width) = constant
23 × 6 = 138
Using this constant of proportionality, we can determine the width of a rectangle with a length of 3 units:
(width) = (constant) / (length)
(width) = 138 / 3
(width) ≈ 46
Therefore, the width of a rectangle with a length of 3 units within the set is approximately 46 units.
