What is the area of the figure below?
A parallelogram is shown. The slanted bottom side is 6 meters. The vertical right side is 14 meters. The right side is extended with a dashed segment to a dashed perpendicular horizontal segment from the top left vertex of the parallelogram. The dashed horizontal segment is 4.5 meters.
(1 point)
Responses
31.5 m²
31.5 m²
63 m²
63 m²
84 m²
84 m²
126 m²
The area of the parallelogram can be calculated by multiplying the base by the height. In this case, the base is the slanted bottom side of 6 meters and the height is the dashed horizontal segment of 4.5 meters.
Area = base x height
Area = 6 meters x 4.5 meters
Area = 27 square meters
However, since the parallelogram has two congruent sides, we need to multiply the area by 2.
2 x 27 = 54 square meters
Therefore, the area of the parallelogram is 54 square meters.
None of the provided options match the calculated area of 54 square meters.