Mastering The Basics Of Parallelograms: Area, Perimeter, And Properties

Parallelogram

Quadrilateral with two sets of parallel sides

A parallelogram is a flat shape with four straight sides, where each pair of opposite sides are parallel to each other. The opposite sides of a parallelogram are also of equal length, and the opposite angles are congruent (equal in measure).

To find the area of a parallelogram, you need to multiply the length of one of its sides by the perpendicular distance (also called the height) between that side and the opposite side. The formula for the area of a parallelogram is:

Area = base × height

where base is one of the sides and height is the perpendicular distance between that side and the opposite side.

To find the perimeter of a parallelogram, you need to add together the lengths of all four sides. Since opposite sides of a parallelogram are equal in length, you can simply add the lengths of two adjacent sides and multiply by 2 to get the perimeter. The formula for the perimeter of a parallelogram is:

Perimeter = 2(a+b)

where a and b are the lengths of two adjacent sides.

Some common properties of parallelograms include:

1. Opposite sides are parallel and equal in length.
2. Opposite angles are congruent.
3. Adjacent angles are supplementary (add up to 180 degrees).
4. The diagonals bisect each other.
5. The sum of the squares of the sides equals the sum of the squares of the diagonals.

More Answers:
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Master Geometry Basics: The Properties, Formulas, And Uses Of Rectangles

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