Geometry, the branch of mathematics that explores the properties and dimensions of shapes and spaces, often presents us with fascinating challenges that require creative thinking. In this blog post, we will embark on a geometric journey to uncover the area of the blue shaded region within a rectangular puzzle. As we delve into the problem, we will use our knowledge of basic geometric concepts and calculations to unveil the hidden beauty within this shape.
The Rectangular:
Let’s begin by understanding the key elements of the rectangular puzzle:
Length and Breadth of the Rectangle:
In the above rectangular
Length = FD=8
Breadth= BD=5
OM=1/2 *BD=2.5
ON=1/2 FD=4
AB= 7
CB=4
The area of rectangle
8*5=40
∆AOB + ∆BOC
Total area of white space
2(∆AOB + ∆BOC)
Calculating the Blue Shaded Region:
To find the area of the blue shaded region, we’ll start by calculating the areas of triangles AOB and BOC, and then subtracting this total from the area of the entire white space.
For complete solution, watch the above video:
Conclusion:
In conclusion, our geometric journey to find the blue shaded region within the rectangular. By breaking down the problem into smaller components, applying fundamental geometric concepts, and performing calculations step by step, we unveiled the hidden beauty of this shape. This exercise serves as a testament to the power of geometry in solving puzzles and exploring the world of shapes and spaces. Whether you’re a math enthusiast or someone seeking to sharpen your problem-solving skills, geometry offers a realm of possibilities to explore and appreciate.
