# Let's have formula for area of a parallelogram & some examples:

** **A formula will show **how to find the area of a parallelogram. **The standard **formula for area of a parallelogram **is given as Area = B x H where B is the base and H is the height of a parallelogram.

Figure given above shows that base and height have to be at right angles to each other for **finding the area of a parallelogram**. The same formula of **area of a parallelogram **can be applied to all types of parallelogram like rhombus, square, rectangles and others. Now lets have an example of it.

(1) **Find the area** **of a parallelogram **if base is equal to 5cms and its height is 4cms:

Area = B x H = 5 x 4 = 20cm^{2}.

(2) Find the area of a square with length 6cms.

We know that square is a parallelogram with all sides and angles are equal. Hence base and height are same. Therefore Area = 6 x 6 = 36cm^{2}.

(3) Find the area of a rectangle with width 6cms and height 4cms:

Area = 6 x 4 = 24cm^{2}.

(4) Find the area of a rhombus with height 7cms and base 8cms:

Area = B x H = 8 x 7 = 56cm^{2}.

**Formula to find the area of a parallelogram vectors:**

To find the **area of a parallelogram vectors, **consider two vectors u and v as the adjacent sides of a parallelogram being shown below. The height can be given as |v| |sin θ| where θ is angle between two vectors.

So **how do you find the area of a parallelogram **for vectors? Lets apply same standard formula for area. Area = B x H = |u| |v| sin θ = |u x v|. This shows that the direction of cross product can be given by the right-hand rule while the magnitude is given by area of parallelogram for two vectors.

Engineer
San Francisco, USA
"If you're at school or you just deal with mathematics, you need to use Studygeek.org. This thing is really helpful." |
Math Teacher
New-York, USA
"I will recommend Studygeek to students, who have some chalenges in mathematics. This Site has bunch of great lessons and examples. " |
Student, Designer
Philadelphia, USA
" I'm a geek, and I love this website. It really helped me during my math classes. Check it out) " |
Bookkeeper
Vancuver, Canada
"I use Studygeek.org a lot on a daily basis, helping my son with his geometry classes. Also, it has very cool math solver, which makes study process pretty fun" |