Taking the distance between dots as 1 unit, we have;
- Area of the blue shaded region = square 10 units
- Area of the yellow polygon = 6 square units
Which method can be used to find the area of the shaded figures?
Taking the figures as comprising of triangles and trapezoids, we have;
In the blue polygon, we have;
Trapezoid area = ((4 + 3)/2) × 2 = 7
Area of the unshaded triangles = 0.5 × 2 × 1 + 0.5 × 2 × 2 + 0.5 × 2 × 1 = 4
Square area = 3 × 2 = 6
Shaded triangle area = 0.5 × 2 × 1 = 1
Sum of the areas is therefore;
A = 7 - 4 + 6 + 1 = 10
Which gives;
- Area of the blue shaded region = 10
Area of the lower yellow trapezoid is found as follows;
Trapezoid area = ((2 + 3)/2) × 4 = 10
Unshaded triangle area = 0.5 × 2 × 1 + 0.5 × 3 × 3 = 5.5
Area of the top triangle = 0.5 × 3 × 1 = 1.5
Area of the shaded yellow polygon is therefore;
A = 10 - 5.5 + 1.5 = 6
- Area of the yellow polygon = 6 square units
Learn more about basic geometric shapes here:
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