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Grade 7 - Mathematics
9.38 Finding Area of Polygons

Example 1: Find the area of the figure.

The figure can be divided into a square and a right angle triangle.

Area = Area of square + Area of right angle triangle
Area of the square = 4 x 4 = 16 cm2
Area of right angle triangle = 1/2 x 4 x 4 = 8cm2
Area of the figure = 16 + 8 = 24 cm2

Example 2: Find the area of the figure.

The figure can be divided into 4 rectangles and 1 square.

Area = Area of 4 rectangles + Area of square
Area of one rectangle = 5 x 2 = 10 cm2
Area of 4 rectangles = 4 x 10 = 40 cm2
Area of square = 5 x 5 = 25 cm2
Area = 40 + 25 = 65 cm2

Example 3: Find the area of the figure.

The figure can be divided into parallelogram and a right angle triangle.

Area = Area of parallelogram + Area of right angle triangle
Area of parallelogram = 3 x 3 = 9 cm2
Area of right angle triangle = 1/2 x 1 x 2 = 1 cm2
Area = 9 + 1 = 10 cm2

Example 4: Find the area of the figure.

The figure can be divided into two rectangles.

Area = Area of square + Area of rectangle
Area of square = 4 x 4 = 16 cm2
Area of rectangle = 8 x 4 = 32 cm2
Area = 16 + 32 = 48 cm2
Area = 9 + 1 = 10 cm2

Directions: Find the area of the figure.
Q 1: Find the area of the figure.

Answer:

Q 2: Find the area of the figure.

Answer:

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Question 4: This question is available to subscribers only!


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