The area of each part of the figure and the whole figure include;
Figure Area (square units)
Rectangle A 54
Triangle B 3
Rectangle C 21
Whole figure 78
In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
- A represent the area of a rectangle.
- W represent the width of a rectangle.
- L represent the length of a rectangle.
By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle A = 9 × 6
Area of rectangle A = 54 square units.
Area of triangle B = 1/2 × base × height
Area of triangle B = 1/2 × (9 - 6) × (9 - 7)
Area of triangle B = 1/2 × 3 × 2
Area of triangle B = 3 square units.
Area of rectangle C = 7 × (9 - 6)
Area of rectangle A = 21 square units.
Area of whole figure = Area of rectangle A + Area of triangle B + Area of rectangle C
Area of whole figure = 54 + 3 + 21
Area of whole figure = 78 square units.