Answer:
The area of shaded figure is 30 sq yards .
Step-by-step explanation:
In the graph the figure is consist of :
- Many grid square and each square grid is equals one square yards .
- Two shapes which are parallelogram and triangle .
To calculate the area of shaded figure we need to find the area of triangle and parallelogram and combine them to get the area of shaded figure.
Finding the area of triangle:-
Area of triangle = ½ × Base × Height
- substitute the values and solve;
Area of triangle = ½ × 5 × 4
Area of triangle = ½ × 20 yard²
Hence, the area of triangle is 10 sq yards.
Finding the area of parallelogram :
Here, to calculate the area subtract the area of two small circle from the area of rectangle .
Area of parallelogram = l × b - 2 (( b × h )½)
- Substitute the values we get,
Area of parallelogram = 4 × 8 - 2 ( 3 × 4 × ½)
Area of parallelogram = 32 - 12.
Area of parallelogram = 20 sq yards.
Hence, Area of parallelogram = 20 sq yards.
Finding the area of shaded figure.
Area of figure = Area of parallelogram + Area of triangle.
Area of figure = 20 sq yards + 10 sq yards.
- Add 20 sq yards and 30 sq yards.
Area of figure = 30 sq yards .
Hence,
The area of shaded figure is 30 sq yards .
