## RHOMBUS

### Definition

A rhombus is a quadrilateral / parallel that has **FOUR (4) same SIDES however not necessarily ideal angles (90°) **like a square or a rectangle.

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**NOTE: **Because a rhombus is a parallelogram like a rectangle or square, the opposite sides are parallel and opposite angles are equal.

**INTERESTING FACT:**

Any square is a rhombus, however not every rhombuses are squares.

### It Is helpful To Think

It is advantageous to think the a **RHOMBUS** as a **SQUARE **or a** RECTANGLE ** that has actually been thrust from a side so that it every sides are equal in length.

### Traditional Formula

**Area**Rhombus = altitude x S or **Area**Rhombus = (d1 x d2)/2

**NOTE:** The **ALTITUDE** is the distance at best angles to 2 sides the a rhombus.

### Thinking inside The Box

If you ar a **RHOMBUS** inside the a box (a rectangle or a square) and also then move one the its slanted next to opposing side, girlfriend will get a rectangle or a square.

**If every sides that the rhombus space equal** and if you ar a **RHOMBUS** inside of a box (a square but NOT a rectangle) and then fold the appropriate or left side that are separated by a diagonal right into the the contrary side, you will obtain a rectangle the is fifty percent of the box that it is in.

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**KEY:** because a rhombus is usually a square that has actually been slanted, it can still it is in treated somewhat as a square. So, rather of having actually to learn an additional formula (**Area**Rhombus = altitude × S), simply use the rectangle formula instead.

### Example

A rhombus with a **altitude** that **3 in** and a **side** that **4 in** has an area of: act the **altitude** as the height and also **S** as the width because they room all the exact same length.Use the rectangle formula rather (**Area**Rhombus = height x width). **Area**Rhombus = 3 in x 4 in = 12 in2

A rhombus with **both diagonals** of **4 **has one area of: treat the **diagonals** as the height and width.Use the rectangle formula instead (**Area**Rhombus = elevation x width).Divide outcomes by 2. **Area**Rhombus = 4 in x 4 in = 16 in2/2 = 8 in2

**REFERENCE:** see screenshots over for graphic representations.

### Memorization Tips

To assist you psychic the form of a rhombus, you have the right to think of that by that is other more descriptive name of**diamond**due to the fact that of that shape rather of the inexplicable name of rhombus. To aid remember the different in between a trapezoid and a rhombus shape, think of a trapezoid together looking at the ago of a car"s windshield and also think that a rhombus together a slanted box that has been extended so that all sides are equal.