To calculate the area of a parallelogram from vectors, find the cross product of the sides and vectors. The area equals the length of the cross product of two vectors. More »

Determine the area of a parallelogram by separating the shape into its component pieces and adding the individual areas together. A parallelogram can be broken into a quadrilateral and two triangles. More » Math Geometry Shapes

The derivative of a cross product is found through the cross product formula Dt(r(t)×q(t))=r?(x)×q(x)+r(x)×q?(x), where r and q are the cross product values. The derivative is found by plugging in the known cross product... More » Math Geometry Trigonometry

Regents Prep explains that the quickest method for proving that a quadrilateral is a parallelogram is if one pair of opposite sides of the quadrilateral are both parallel and congruent. However, several other forms of pr... More »

The perimeter of a parallelogram, as for any polygon, is the sum of the lengths of its sides. The opposite sides of a parallelogram are parallel and have the same measurement. The formula for its perimeter is twice the s... More »

One proof regarding a parallelogram is used to show that the two pairs of opposite sides are congruent. When given a parallelogram with angles A, B, C and D, the line segments AB and CD are congruent, as are the line seg... More » Math Geometry

A rhombus is a four-sided figure with opposite sides parallel, making it a parallelogram. The rhombus differs from other parallelograms in that all four sides are equal in length. More » Math Geometry