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Area of composite figures is the measure of the space occupied by a figure that is made up of two or more simple shapes. To find the area of a composite figure, we can divide it into smaller parts that are easier to calculate, such as squares, rectangles, triangles, parallelograms, trapezoids, circles, etc. Then, we can add up the areas of the smaller parts to get the total area of the composite figure.




How to find the area of composite figures?

The following steps can help us find the area of composite figures:


  • Step 1: Identify the simple shapes that make up the composite figure.
  • Step 2: Find the area of each simple shape using the appropriate formula. Remember to use the same unit for all measurements.
  • Step 3: Add up the areas of all the simple shapes to get the total area of the composite figure.
  • Step 4: Write the final answer with the correct unit squared.

Formulas for finding the area of simple shapes

The table below shows some common formulas for finding the area of simple shapes

ShapeFormulaExample
SquareA = s^2A square with side length 4 cm has an area of 4^2 = 16 cm^2
RectangleA = lwA rectangle with length 6 m and width 3 m has an area of 6 × 3 = 18 m^2
TriangleA = (1/2)bhA triangle with base 8 cm and height 5 cm has an area of (1/2) × 8 × 5 = 20 cm^2
ParallelogramA = bhA parallelogram with base 10 m and height 4 m has an area of 10 × 4 = 40 m^2
TrapezoidA = (1/2)(b1 + b2)hA trapezoid with bases 12 cm and 8 cm and height 6 cm has an area of (1/2) × (12 + 8) × 6 = 60 cm^2
RhombusA = (1/2)d1d2A rhombus with diagonals 15 cm and 12 cm has an area of (1/2) × 15 × 12 = 90 cm^2
CircleA = πr^2A circle with radius 7 m has an area of π × 7^2 ≈ 153.9 m^2
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Area Of Composite Figures Worksheet

Area of composite figures is the measure of the space occupied by a figure that is made up of two or more simple shapes. To find the area of a composite figure, we can divide it into smaller parts that are easier to calculate, such as squares, rectangles, triangles, parallelograms, trapezoids, circles, etc. Then, we can add up the areas of the smaller parts to get the total area of the composite figure.




How to find the area of composite figures?

The following steps can help us find the area of composite figures:


  • Step 1: Identify the simple shapes that make up the composite figure.
  • Step 2: Find the area of each simple shape using the appropriate formula. Remember to use the same unit for all measurements.
  • Step 3: Add up the areas of all the simple shapes to get the total area of the composite figure.
  • Step 4: Write the final answer with the correct unit squared.

Formulas for finding the area of simple shapes

The table below shows some common formulas for finding the area of simple shapes

ShapeFormulaExample
SquareA = s^2A square with side length 4 cm has an area of 4^2 = 16 cm^2
RectangleA = lwA rectangle with length 6 m and width 3 m has an area of 6 × 3 = 18 m^2
TriangleA = (1/2)bhA triangle with base 8 cm and height 5 cm has an area of (1/2) × 8 × 5 = 20 cm^2
ParallelogramA = bhA parallelogram with base 10 m and height 4 m has an area of 10 × 4 = 40 m^2
TrapezoidA = (1/2)(b1 + b2)hA trapezoid with bases 12 cm and 8 cm and height 6 cm has an area of (1/2) × (12 + 8) × 6 = 60 cm^2
RhombusA = (1/2)d1d2A rhombus with diagonals 15 cm and 12 cm has an area of (1/2) × 15 × 12 = 90 cm^2
CircleA = πr^2A circle with radius 7 m has an area of π × 7^2 ≈ 153.9 m^2

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