Home > Math Worksheets > Area and Perimeter Worksheets > Area of Polygons

Polygons are plane figures that have at least three straight sides. In this section most of the polygons have many more sides to work with. The first thing you need to do is cut each polygon into sections. We would suggest that you choose to create figures that you are versed well with working with. The common formula for determine the area of a polygon is that area is equal to one-half multiplied by the perimeter of the polygons multiplied by the apothem. Your students will work on how to determine the polygons using information provided about the length of their radius, diameter, sides, etc. (formulas have been provided).

Work with the many sided objects and find out their area. It is much easier if you focus on creating shapes that you have worked with before. The worksheets, lessons, and quizzes found below will help you not only learn how to find area when it comes to polygons, but we will look at how this skill applies to the real world. We will learn how to make measures with grids and find inscribed angles. We will also work with other shapes like triangles, circle, parallelograms, and trapezoids.

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Skill Introduction

Determine the value of the x. Find the area of the rectangle.

Worksheet 1

Find the area of the given figure. In many cases you will be given a height to start with.

Area of Polygons and Circles -Worksheet 2

Yes there is a circle up in here.

Review Sheet

The area of the parallelogram is (length x breadth)

Review Sheet Part 2

Practice this skill by completing the problems. Find the area of the bigger and the smaller circles.

Quiz

Find the area of the given figure with one side of horizontal rectangle= 3 Find the area of the given figure. Find the area of the given trapezium with the height =4

Do Now

Complete the problems. Put your answer in the "My Answer" box.

Real World Polygons - Try the Skill

To find the area of the shaded quadrilateral, follow the steps. - Find the area of the complete rectangle in which the quadrilateral is inscribed. Then find the area of the non-shaded regions at the corners, which are actually right triangles. Add the areas of all the right triangles. Subtract the sum of areas of triangles from the area of rectangle to get the area of quadrilateral.

Trial Problems Sheet

A certain triangle's altitude is 2 m; its area is 12 m2. What is its base?

Practice the Skill

Find the area of the shaded quadrilaterals.

Practice the Skill Twice

A certain triangle has an altitude of 3 m and its area is 18 m2. What is its base? 2 The area of a triangle is 48 cm^2; its base is 9 cm. What is its altitude?

Show the Skill

Find the area of these shapes in square millimeters.

Warm Up

Dick has to paint three sides of different houses. Each side is shown in figure. This side has two windows that are 1 ft 3 in × 1ft 9 in. How many square feet is the area that needs to be painted?

Lesson

A full walkthrough followed by a couple of review problems.

Area of Polygons and Circles- Worksheet 1

There is a garden in the form of a trapezoid whose sum of parallel sides are 40 and the height is 20. Find out the area of the garden? There is a square of side 20 and we have to make small squares of side 4. So how many squares can be formed from the bigger square?

Worksheet 2

A small street of dimensions 60 feet long and 40 feet wide. What is the area of the Street? 10 units by 9 units garden is surrounded by a 4 units side square flower bed. Find the area of the garden excluding the flower bed?

Skill Review

Practice this skill by completing the problems below. Find the area of the given figures.

Topic Quiz

Find the area of the given figures.

Do Now Worksheet

Complete the problems. Put your answer in the "My Answer" box Find the area of the given figures.

Area of Polygons Using Grids - Meet the Skill

To calculate area of a polygon, it must be divided into easy shapes, this makes calculating the area easy. Once area of all obtained shapes are calculated, they are added to acquire the area of the polygon.

Using Grids - Try the Skill

To get the area of such figure; one has to follow these steps Find area of rectangle in which the polygon is inscribed. Find the area of the triangles formed at the corners by the edges of polygon and rectangle. Subtract sum of area of all triangles from the area of rectangle to get the area of polygon.