Area of a Parallelogram with out cross products

In summary, the formula for finding the area of a parallelogram without cross products is base multiplied by height. The base and height can be found by measuring any two sides that are perpendicular to each other. This formula is applicable to all types of parallelograms. It is not possible to find the area with only one known side. Cross products can also be used, but the simpler formula is preferred.
  • #1
c-murda
67
0

Homework Statement



given the vertices:
(0,0)
(3,1)
(2,3)
(5,4)

Homework Equations



solving without cross products and with mathematica if available


The Attempt at a Solution



Te1=[3]
[1]
Te2=[2]
[3]


[det[Ay]]
________

[det[A]]

get you the solution

i got 7

correct?
 
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  • #2
Yeah it looks ok. By the way since you have mathematica, couldn't you have verified the answer?
 
  • #3
Defennder said:
Yeah it looks ok. By the way since you have mathematica, couldn't you have verified the answer?

i don't have mathematica that why i was checking my answer. and to know i could do it by hand.

thanks!
 

FAQ: Area of a Parallelogram with out cross products

What is the formula for finding the area of a parallelogram without using cross products?

The formula for finding the area of a parallelogram without cross products is simply base multiplied by height. This means that you multiply the length of the base of the parallelogram by its height, which is the perpendicular distance between the base and the opposite side.

How do you find the base or height of a parallelogram?

The base and height of a parallelogram can be found by measuring the length of any two sides that are perpendicular to each other. The side that is perpendicular to the base is considered the height, while the base is any other side.

Can I use the formula for area of a parallelogram without cross products for any parallelogram?

Yes, the formula for finding the area of a parallelogram without cross products is applicable to all types of parallelograms, whether they are right, acute, or obtuse.

Is it possible to find the area of a parallelogram with only one known side?

No, in order to use the formula for finding the area of a parallelogram without cross products, you need to know the length of both the base and the height. Without this information, it is not possible to accurately calculate the area.

Can cross products be used to find the area of a parallelogram?

Yes, cross products can also be used to find the area of a parallelogram. However, this method is more complex and involves finding the cross product of two adjacent sides and dividing it by the length of the other side. This is why the simpler formula of base multiplied by height is often preferred.

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