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parallelogram

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parallelogram

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Some properties of a parallelogram.

A quadrilateral (a shape with four sides) with opposite pairs of sides equal in length and parallel, and opposite angles equal. The diagonals of a parallelogram bisect each other. Its area is the product of the length (l) of one side and the perpendicular distance (height h) between this and the opposite side; the formula is A = l × h. In the special case when all four sides are equal in length, the parallelogram is known as a rhombus, and when the internal angles are right angles, it is a rectangle or square.

For example, to find the area of a parallelogram 12 cm long and 6 cm high:

A = l × h, so

A = 12 × 6 = 72 cm2



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If many simultaneously and variously directed forces act on a given body, the direction of its motion cannot coincide with any one of those forces, but will always be a mean- what in mechanics is represented by the diagonal of a parallelogram of forces.
This you do at present with perfect confidence, because everyone knows to an inch or two the area occupied by an adult Triangle: but imagine that your Tradesman drags behind his regular and respectable vertex, a parallelogram of twelve or thirteen inches in diagonal: -- what are you to do with such a monster sticking fast in your house door?
On the sides of this triangle had recently been constructed a parallelogram of considerable size, which encroached upon the street remorselessly, according to the familiar uses of the building of that period.
 
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