Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 39

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar rectangles with an unknown side length. Two rectangles are shown, one with side lengths of 4 and x, and the other with side lengths of 15 and 4. The problem requires setting up a proportion to determine the value of x for which the rectangles are similar: 4 / 15 = x / 4. Solving this equation leads to x = 16/15.

Understanding proportions in geometric contexts, particularly with rectangles, is a fundamental skill in mathematics. This collection of examples helps teach the topic by presenting various scenarios where proportions are applied to solve problems involving unknown side lengths, allowing students to see the practical applications of these mathematical concepts in areas such as architecture, engineering, and design.

Providing multiple worked-out examples is essential for students to fully grasp proportions and their applications. Each example builds on previous concepts while introducing new elements, helping students develop problem-solving skills and recognize patterns across different types of proportion problems involving rectangles and other geometric figures.

Teacher's Script: "Let's examine this example where we need to find the unknown side length x to make these rectangles similar. We'll set up the proportion 4 / 15 = x / 4 and solve for x. Notice how we handle the unknown variable in the context of similar rectangles. This skill is particularly useful in many real-world applications, such as scaling drawings, understanding aspect ratios in photography and video, and solving problems in fields like architecture and graphic design."

For a complete collection of math examples related to Solving Proportions click on this link: Math Examples: Solving Proportions Collection.