What is the area of a parallelogram with sides 6 cm and 12 cm

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

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A parallelogram is a quadrilateral where the opposite sides are parallel to each other.

The length of the sides of a parallelogram does not uniquely define it. It is possible to create an infinite number of different parallelograms with sides of length 6 cm and 12 cm. The interior angle should be known to determine the area of a parallelogram.

One instance of such a parallelogram is a rectangle where the interior angle is 90 degrees. In this case the area of the parallelogram is 72 cm^2.

The information given is insufficient to determine the area of the parallelogram.

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

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A parallelogram is a figure with four sides, such that the opposite sides are parallel and equal in length.

The area of a parallelogram is defined as A = b*h where b is any one of the sides and h is the horizontal distance of the opposite side from the first.

Given only that a parallelogram has sides of 6 cm and 12 cm does not allow the horizontal distance h to be determined. The required area cannot be determined.

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