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Area of Irregular Shapes

Answer Keys Here

Aligned To Common Core Standard:

Grade 6 Geometry - 6.G.A.1

How to Approach Finding the Area of Irregular Shapes - While there are many symmetrical shapes in geometry, you will find many asymmetrical shapes too. These are called irregular shapes. Irregular shapes are the polygons having five or more sides of varying lengths. But the hardest part is to find out the area of these odd shapes. In order to learn how we can go about finding the areas of these shapes, let's look at the following steps. The first approach is to decompose these shapes into triangles, squares, quadrilaterals or any other shape to form a regular shape. To evaluate such shapes, you can divide the shapes into unit squares. The total number of unit squares that fall within the shape determines the area of the figure. If you have shaded unit squares, count squares as 1 if the shaded region is more than half the square. Divide the irregular shape into two or more regular shapes to find the area. Use curves to divide the irregular shapes into regular shapes. Using dividing techniques, you can easily find the area of odd shapes that are a part of geometry. These worksheets and lessons help students understand how to find indirect area of shapes and various locations.

Printable Worksheets And Lessons

Homework Sheets

These are the types of problems professional contractors deal with daily.

  • Homework 1 - What is the area of this triangle? As long as you account for all the measures, you are all good.
  • Homework 2 - What is the area of this figure? These are common problems you will come across when working in construction.
  • Homework 3 - Which figure has a greater perimeter? Remind yourself that these are all not to scale.

Practice Worksheets

These are the types of problems that teachers work with daily.

  • Practice 1 - A regular hexagon is a six sided polygon where each side is of equal length. This length is also equal to the radius (r) of the hexagon.
  • Practice 2 - A square is a quadrilateral where all four sides are of equal length.
  • Practice 3 - Find the area of some wild shapes.

Math Skill Quizzes

Students should hopefully sail through these.

  • Quiz 1 - All quizzes are a mixed review in this section. You will do some comparisons and calculations.
  • Quiz 2 - Which figure has a greater perimeter?
  • Quiz 3 - More perimeter problems for you to tackle. I would recommend checking things off as you go.

Why Is This Skill Important?

Almost all forms building or construction projects involve this skill at some point. Whether it be during the initial architectural design or if a client asks them to add a closet somewhere on the blueprint. The architect can only work with the area that the original design calls for. When the construction begins they will often run into problems based on the wiring, heating, and cooling of the house. They may need to shimmy something around, once built it may not look the best, or there might be a piece of furniture or kitchen appliance that requires changes to be made. In the medical field computers and radiologists are performing similar calculations to determine the size of unknown growths in their patient’s bodies. Understanding the shape and being able to detect and track these growths are often key to staying healthy.