Geometry has a wide range of real-life applications in our daily existence and situations. Let’s see how we can implement geometric principles, formulas and methods to solve word problems. The key to solving practical geometry problems is translating the real-life situation or word problem into figures, measurements, and other given information required to design the case conceptually. For example, we have to find the area of a model using a similar method of calculating a composite figure’s area.
Suppose we were asked to define how much floor area is available in a particular construction with a mixed (or composite) pattern. Here, we may need to apply the same postulates to calculate a composite figure’s area. Of course, some building dimensions might be required but will follow the same problem-solving procedures. It behoves us to perform a fundamental approach to work with practical geometry problems. This method is similar to working almost a word problem but is geared somewhat more toward geometry puzzles’ properties in particular. We can use various geometric shapes and their respective equations, such as the law of cosines, to solve real-world problems. We can do this by transforming the real-world problem into a suitable geometric shape. Below steps help in understanding the approach for solving real world problems using geometry.
Step 1: First, we need to identify the element and related information required to calculate from the given information.
Step 2: Draw a diagram using some geometric tools for a visual representation of the problem, which can help us coordinate our thoughts, keeping given information in mind.
Step 3: Record all appropriate measurements and mark them in some manner on your diagram.
Step 4: Pay attention to giving suitable units for parameters. We have to maintain accurate track of the units that are operating throughout the problem. If no specific units (such as cm, m or mm) are given, use the generic term “units”.
Step 5: Divide the figure in case of a composite figure into manageable portions for easy computations.
Step 6: Identify any appropriate geometric relationships. This step will help us to simplify the given problem.
Step 7: Finally, we may need to apply our geometry skills, such as suitable formulas or theorems, to calculate the desired parameter.
We can also verify the results by substituting them into suitable formulas. Another essential point is that when decomposing a complex model into simple figures, we can use various postulates and procedures such as similar triangles, congruent triangles, line properties, etc. Also, we can use the formula of inverse sine when dealing with right triangles.
For example, whenever we require to estimate how many square-shaped tiles need to superimpose a rectangular living room entirely, we can model the living room with a rectangle and each tile with a square. We can use the formula of square and rectangle area to get the desired result, which means the number of tiles required to cover the rectangular floor. In the same way, we can deal with various real world problems using geometry.