On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.

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Answer:

A) The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

The area of parallelogram 1 is 2 square units greater than the area of parallelogram. Option 2 is correct.

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

A₁ is the area of parallelogram 1

A₁ is the area of parallelogram 2

l₁ is the distance between the points (2,6),(0,2)

l₂ is the distance between the points (4,0)(0,2)

b₁ is the distance between the points (2,0),(0,-2)

b₂ is the distance between the points (2,6),(4,-6)

A₁ =  l₁ × b₁

A₁=4.47 ×4.47

A₁  = 19.89 sq.unit

A₂=l₂×b₂

A₂=2.82 × 6.342

A₂=17.88 sq.unit

A₁-A₂ = 19.89 sq.unit - 17.88  sq.unit'

A₁-A₂= 2.01

The area of parallelogram 1 is 2 square units greater than the area of a parallelogram.

Hence,option 2 is correct.

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

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