Find the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1).

Isis Everett

Isis Everett

Answered question

2023-03-30

What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)?

Answer & Explanation

2s1or1rogbhj

2s1or1rogbhj

Beginner2023-03-31Added 6 answers

To find the area of a parallelogram with the given vertices, we can use the formula:
A=|(x1y2+x2y3+x3y4+x4y1)(y1x2+y2x3+y3x4+y4x1)|
Let's substitute the coordinates of the given vertices into this formula:
A=|(3·5+1·4+7·(1)+5·0)(0·(1)+5·7+4·5+(1)·(3))|
Simplifying the calculation within the absolute value:
A=|(1547+0)(0+35+20+3)|
A=|2658|
A=|84|
A=84
Therefore, the area of the parallelogram is 84.

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