Areas of irregular figures can be determined by dividing the figure into squares and rectangles. Show Some irregular figures are made of rectangular or square regions. The areas of such irregular figures can be determined by calculating the areas of these rectangles and squares. To find the area of a figure which is a combination of rectangles and a squares, we calculate the area of each figure separately and then add them to find total area. Solved examples to find areas of irregular figures: 1. Find the area of the given figure:  Solution: Area of a rectangle ABDC = 3 × 1 = 3 sq. cm. Area of a rectangle EFGD = 2 × 1 = 2 sq. cm. Therefore, Total Area = 3 + 2 = 5 sq. cm. Area of the given figure = 5 sq. cm. 2. Find the area of the following figures. Solution: Area of the rectangle PQTU = 5 × 3 = 15 sq. cm. Area of the square VRST = 2 × 2 = 4 sq. cm. Total area of the figure = 15 + 4 = 19 sq. cm. 3. Find the area of the following figure. Total area = Area of the rectangle ABGF + Area of the rectangle CDEG = 8 × 2 cm\(^{2}\) + 2 × (8 - 2) cm\(^{2}\) = 16 sq cm\(^{2}\) + 2 × 6 cm\(^{2}\) = (16 + 12) cm\(^{2}\) = 28 cm\(^{2}\) Therefore, area of the figure = 28 cm\(^{2}\) 4. Find the area of the following figure. (i) We divide the figure into two parts. PQRS is a rectangle of length 9 cm and breadth 5 cm. Area of PQRS = 9 × 5 = 45 sq. cm STUV is a square of side 3 cm Area of square STUV = 3 × 3 = 9 sq. cm Hence, total area of the figure = 45 + 9 = 54 sq. cm 5. Find the area of the figure given on the right side. Total area = Area of the rectangle ABKL + Area of the rectangle EFGH + Area of the rectangle CDIJ = 20 × 4 cm\(^{2}\) + 20 × 4 cm\(^{2}\) + 8 × 4 cm\(^{2}\) = 80 cm\(^{2}\) + 80 cm\(^{2}\) + 32 cm\(^{2}\) = (80 + 80 + 32) cm\(^{2}\) = 192 cm\(^{2}\) Therefore, area of the figure = 192 cm\(^{2}\) 6. Find the area of the following figure. Figure QTUV is a rectangle of length (5 cm + 5 cm = 10 cm) and breadth 2
cm Area of QTUV = 10 × 2 = 20 sq. cm PQRS is a square of side 5 cm Area of PQRS = 5 × 5 = 25 sq. cm Hence, total area of the figure = 20 + 25 = 45 sq. cm ● Area. Area of a Rectangle. Area of a Square. To find Area of a Rectangle when Length and Breadth are of Different Units. To find Length or Breadth when Area of a Rectangle is given. Areas of Irregular Figures. To find Cost of Painting or Tilling when Area and Cost per Unit is given. To find the Number of Bricks or Tiles when Area of Path and Brick is given. Worksheet on Area. Worksheet on Area of a Square and Rectangle Practice Test on Area. 5th Grade
Geometry Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. How do I calculate the area of an irregular shape?To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.
How do you find the perimeter of irregular shapes?An irregular figure can be broken down into two or more regular shapes, such as triangles, circles, trapezoids or rectangles. To find the perimeter around irregular figures, add the lengths of the sides.
How do you find the perimeter of an irregular shape with a missing side?If a shape is irregular then it has angles that are not all the same size. To find the perimeter of an irregular shape, we simply add up each of its outer sides.
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Area and perimeter of irregular shapes worksheet answer key
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