Find the area of the parallelogram. From the base, a dashed line segment is drawn, ending at a point just below the upper right vertex of the parallelogram. A vertical dashed line segment is drawn from the endpoint to the upper right vertex. This segment is labeled 6.4 centimeters. A small square is placed along the two dashed lines with the point of intersection as the lower right vertex of the square. (1 point) Responses 29.44 cm² 29.44 cm² 8.7 cm² 8.7 cm² 14.72 cm² 14.72 cm² 7.36 cm²
6.4 cm on the left
2.3 cm on the bottom
To find the area of the parallelogram, we need to find the height of the parallelogram first. The height of the parallelogram is equal to the length of the vertical dashed line segment, which is 6.4 cm.
Next, we multiply the base of the parallelogram by its height to find the area. The base of the parallelogram is the length of the bottom side of the small square, which is 2.3 cm.
Therefore, the area of the parallelogram is:
Area = base x height
Area = 2.3 cm x 6.4 cm
Area = 14.72 cm²
So, the correct answer is 14.72 cm².