Answer:
To find the area of a trapezoid, we can use the formula:
Area = (1/2) × (sum of bases) × (height)
In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:
height² = (side)² - (difference of bases/2)²
height² = 5.4² - (2-6/2)²
height² = 29.16 - 9
height² = 20.16
height = √20.16
height ≈ 4.49 cm
Now we can plug in these values to find the area:
Area = (1/2) × (6 + 2) × 4.49
Area = 4 × 4.49
Area = 17.96 cm²
Therefore, the area of the trapezoid is approximately 17.96 square centimeters.
Explanation: