The areas of the two triangles are 1 square meter and 2 square meters.
The area of the trapezoid is 3 square meters.
In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):
Area of triangle = 1/2 × b × h
Where:
- b represent the base area.
- h represent the height.
By substituting the given side lengths into the formula for the area of a triangle, we have the following;
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 2 × 1
Area of triangle = 1 square meter.
Area of triangle = 1/2 × 4 × 1
Area of triangle = 2 square meters.
For the area of the trapezoid, we would add the areas of the two triangles;
Area of the trapezoid = 1 + 2
Area of the trapezoid = 3 square meters.