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romanna [79]
3 years ago
14

What is the area of a parallelogram ABCD

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Answer:

Area of a parallelogram would be 13.46

Step-by-step explanation:

Since area of a parallelogram is represented by the formula

Area = \frac{1}{2} ((D_{1}*D_{2})

Where D_{1} and D_{2} are two diagonals of the given parallelograms.

In the given figure D_{1}=AC and D_{2} = BD

We will find the length of D_{1} and D_{2} first

Since points A and C are (3,6) and (5,1)

So distance AC = \sqrt{(6-1)^{2}+(3-5)^{2}  }

= \sqrt{5^{2}+(-2)^{2}}

= \sqrt{25+4}=\sqrt{29}

Since B and D are the points (6, 5) and (2, 2)

So length of BD = \sqrt{(6-2)^{2}+(5-2)^{2}}

BD = \sqrt{4^{2}+3^{2}}=\sqrt{25}=5

Now we will put these values in the formula

Area of parallelogram = \frac{1}{2}(\sqrt{29})(5)

= \frac{5}{2} × \sqrt{29}

= (2.5) (5.385)

= 13.46

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