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

1 answer

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.
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