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kobusy [5.1K]
3 years ago
14

Find the area of the parallelogram whose vertices are given below. ​A(negative 2​,2​) ​B(2​,0​) ​C(10​,3​) ​D(6​,5​)

Mathematics
1 answer:
swat323 years ago
5 0

Answer: Area of Parallelogram is 28 units squared.

Step-by-step explanation:

Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by

Area= |a×b| ___ (1)

From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.

Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .

Calculations are given in picture.

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