Based on the dimensions of a rectangle ABCD, the area of the shaded region is 19.5 square units.
In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
Area of rectangle = length × breadth
Area of rectangle = (5 + 4) × 3
Area of rectangle = 27 square units.
The area of a trapezoid can be calculated by using this mathematical equation (formula):
Area of trapezoid, A =1/2 × (a + b) × h
Where:
- a and b represent the base areas of a trapezoid.
- h represent the height of a trapezoid.
By substituting the given side lengths into the formula for the area of a trapezoid, we have the following:
Area of shaded region, A = 1/2 × (4 + 9) × 3
Area of shaded region, A = 1/2 × (13) × 3
Area of shaded region, A = 19.5 sq. units.