Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
12 cm
6 cm
45°
2 cm
(1 point)
• 84 cm₴
• 96 cm?
• 72 cm₴
• 108 cm₴
To find the area of a trapezoid, you can use the formula:
Area = (1/2) * (sum of the lengths of the bases) * (height)
In this case, the length of the bases would be 12 cm and 2 cm, and the height is 6 cm (the distance between the bases).
Plugging these values into the formula:
Area = (1/2) * (12 cm + 2 cm) * (6 cm)
Area = (1/2) * (14 cm) * (6 cm)
Area = 7 cm * 6 cm
Area = 42 cm²
Therefore, the area of the trapezoid is 42 cm².