The area of trapezoid DEFG with coordinates D (2, 3), E (5, 3), F (3, 1), and G (2,1) is 4 square units.
Area of a trapezoid:
The formula for the area of a trapezoid is,
Area = {(a + b) × h} / 2
Where a and b are the parallel sides and h is the perpendicular distance (height) between them.
But this formula only works when these a, b and h values are given.
In the figure below we can easily find those a, b and h values.
- h (FH) = 2 units.
- a (GF) = 1 units.
- b (DE) = 3 units.
Now using the formula we get,
Area = 1/2 × (1 + 3) × 2
Simplifying (1 + 3) we get,
Area = 1/2 × 4 × 2
Further simplifying, 1/2 and 2 will get cancelled,
Area = 4 square units
Therefore, the area of trapezoid DEFG is 4 square units.
Look more about how the area of a trapezoid can be calculated when coordinates are given here - brainly.com/question/26277437
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