Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?
Practice Problems
\(\textbf{1)}\) Find the Area and the Perimeter
\(\textbf{2)}\) Find the Area and the Perimeter
\(\textbf{3)}\) Find the Area and the Perimeter
\(\textbf{4)}\) Find the Area and the Perimeter
See Related Pages\(\)
\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Area and Perimeter of Rectangles}\)
\(\,\,\,\,\,\,\,\,\)
\(\,\, A=bh, \,\, P=2b+2h…\)
\(\bullet\text{ Area and Perimeter of Triangles}\)
\(\,\,\,\,\,\,\,\,\)
\(\,\, A=\frac{1}{2}bh, \,\, P=s_1+s_2+s_3…\)
\(\bullet\text{ Area and Circumference of Circles}\)
\(\,\,\,\,\,\,\,\,\)
\(\,\, A= \pi r^2, \,\,C=2 \pi r…\)
\(\bullet\text{ Area of Trapezoids}\)
\(\,\,\,\,\,\,\,\,\)
\(A=\frac{1}{2}(b_1+b_2)\cdot h…\)
In Summary
In geometry, a compound figure is a figure that is made up of two or more simple geometric shapes. The area of a compound figure is the sum of the areas of the individual simple shapes that make up the compound figure. The perimeter of a compound figure is the distance around the outside of the figure, which is the sum of the lengths of the sides of the individual simple shapes that make up the compound figure.
To find the area of a compound figure, you need to first identify the individual simple shapes that make up the figure, and then calculate the area of each shape. Once you have the area of each shape, you can add them together to find the total area of the compound figure.
To find the perimeter of a compound figure, you need to first identify the individual simple shapes that make up the figure, and then calculate the length of each side. You then sum the sides that make up the exterior of the compound figure to find the perimeter of the compound figure.
The concept of area and perimeter of compound figures is typically introduced in middle or high school mathematics classes, such as geometry or algebra. In these courses, students learn how to calculate the area and perimeter of a variety of simple and compound figures, using formulas and other techniques.
Overall, the study of area and perimeter is an important part of the mathematics curriculum, as it helps students develop critical thinking and problem-solving skills that they can apply in a variety of real-world situations.
Real world examples of area and perimeter of compound figures
Construction: When building a structure, it’s important to know the area and perimeter of the various components, such as walls, floors, and roofs. This information can help with calculating the materials needed and the overall cost of the project.
Landscaping: When designing a garden or other outdoor space, it’s important to know the area and perimeter of the space in order to plan out the layout and determine the amount of materials needed, such as grass seed or mulch.
Interior design: When planning the layout of a room, it’s helpful to know the area and perimeter of the space in order to determine the size and placement of furniture and other objects.
Sports: In sports such as soccer, basketball, and football, the area and perimeter of the playing field are important factors in the rules and strategies of the game.
One of the earliest known records of the concept of area is found in the Rhind Papyrus, an ancient Egyptian document dating back to around 1650 BC. This document contains a series of problems that demonstrate the use of the concept of area in practical situations, such as calculating the area of fields and the volume of granaries. The concept of perimeter, or the distance around the outside of a figure, was also known to the ancient Egyptians and is mentioned in several of their mathematical texts. Throughout history, many other mathematicians have contributed to the development of our understanding of area and perimeter, including Archimedes, Al-Khwarizmi, and Pierre de Fermat, among others. Today, these concepts continue to be an important part of the study of geometry and are used in a wide range of applications in mathematics and science.
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at tutoring@andymath.com for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!
Thank you for visiting. How exciting!