Rhomboid

To understand rhomboids, we need to understand what a plane figure is. A plane figure can be an open or closed figure drawn using either straight line on curved lines. It is primarily a two-dimensional figure. So to understand geometry, we need to understand plane figures. They have both vertices and sides. Similarly, they have perimeters and areas but not surface area and volumes. The basic types of figures are shown in the image below.

Also check: Parallelepiped

Rhomboid

Definition of Rhomboid

The rhomboid is different from a rhombus. It is a type of parallelogram. It is very similar to a parallelogram. It is a figure in which opposite sides are parallel to each other. This is why it is similar to a parallelogram. And if a rhomboid has all sides equal, it becomes a rhombus. So we can say that a rhombus is always a rhomboid, but all rhomboids may not be a rhombuses. The below figure is the rhomboid with base b and height or altitude h.

Rhomboid shape

Rhomboid Properties

  1. Opposite pair of sides are parallel.

Properties of Rhomboids

  1. Opposite sides of a rhomboid are also congruent.
  2. The diagonal divides the rhomboid into two congruent triangles.
  3. Opposite angles of a rhomboid are also congruent.

Angles of a Rhomboid

  1. The sum of interior angles of a rhomboid is equal to 360 degrees.

Interior angles of a rhomboid

Important Rhomboid Formulas

  • The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b), where b is the base of the rhomboid and a is the length of the other side of the rhomboid.

Area and perimeter of a rhomboid

  • Area of a rhomboid: The diagonal of a rhomboid divides the rhomboid into two congruent triangles and its area becomes ½ x base x altitude.

Rhomboid formula

Where AB is the base and BD is the diagonal which divides it into two parts(equal).

Examples of a Rhomboid

Problem 1: Calculate the perimeter of the rhomboid shown below:

Rhomboid examples

Solution: For the given figure above,

Base length = b = 8cm

Adjacent side = a = 7 cm

Height (altitude) = h = 4 cm

Therefore, the perimeter = 2 (a + b) cm = 2 (7 + 8) = 2(15) = 30 cm

Frequently Asked Questions on Rhomboid – FAQs

What does a rhomboid shape look like?

Like triangles, Rhomboids may take various shapes, but they always look like a lopsided diamond or rectangle.

Where are the rhomboids?

Rhomboids are two-dimensional figures that look like parallelograms in which adjacent sides are of unequal lengths and angles are non-right angled.

Does a rhombus add up to 360?

Yes, the sum of the interior angles of a rhombus is 360 degrees.

Is every square a rhombus?

Yes, every square is a rhombus since a rhombus is a quadrilateral with four equal-length sides and opposite sides parallel to each other. The sides of a square are congruent, and the opposite sides are parallel to each, where all the internal angles are right angles. From this, we can say that every square is also a rhombus.

Does a kite add up to 360?

Yes. A kite is a quadrilateral, and the sum of all interior angles of any quadrilateral must be equal to 360 degrees.

Is a rhomboid a rhombus?

No, a rhomboid is not a rhombus. We know that a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled, whereas a rhombus contains sides of equal length.

Is a rhomboid a trapezoid?

Yes, a rhombus is a special type of trapezoid.

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