Based on the calculation, the area of the unknown geometric shape is equal to 8 square units.
How to calculate the area?
In order to calculate the area of the unknown geometric shape, we would determine the area of each of the geometric shape that makes it up and then add these areas together.
From the graph (see attachment), we have:
Area of large triangle = ½ × base × height
Area of large triangle = ½ × 3 × 3
Area of large triangle = 4.5 sq. units.
Area of small triangle = ½ × base × height
Area of small triangle = ½ × 2 × 2
Area of small triangle = 2 sq. units.
Area of trapezium = ½(2 + 1) × 1
Area of trapezium = 1.5 sq. units.
Now, we can calculate the area of the unknown geometric shape:
Total area = 4.5 + 2 + 1.5
Total area = 8 sq. units.
Read more on area of triangle here: brainly.com/question/2391510
#SPJ1
