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How Is Area Related to Perimeter?

Betty Clayton Lyon

Open publisher page 1 citations

Abstract

Many mathematical ideas become clear by looking at patterns. Our intuition can lead to conjectures, theorems, and often new proofs. Such is the case in studying the relation between the area of a rectangle and its perimeter. Because a rectangle with a given perimeter can yield several different areas, our study will be limited to rectangles with integral sides. Let us begin by analyzing some rectangles with small perimeters.

About this research paper

What this paper is about

Many mathematical ideas become clear by looking at patterns. Our intuition can lead to conjectures, theorems, and often new proofs. Such is the case in studying the relation between the area of a rectangle and its perimeter. Because a rectangle with a given perimeter can yield several different areas, our study will be limited to rectangles with integral sides. Let us begin by analyzing some rectangles with small perimeters.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Many mathematical ideas become clear by looking at patterns. Our intuition can lead to conjectures, theorems, and often new proofs. Such is the case in studying the relation between the area of a rectangle and its perimeter. Because a rectangle with a given perimeter can yield several different areas, our study will be limited to rectangles with integral sides. Let us begin by analyzing some rectangles with small perimeters.

Key concepts: Perimeter, Rectangle, Mathematical proof, Intuition, Mathematics, Relation (database), Combinatorics, Computer science

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