Which kind of quadrilateral has opposite sides parallel and equal in length

Parallelogram, Rhombus, Rectangle, and Square.

Step-by-step explanation:

There are 4 quadrilaterals that satisfy the conditions of the opposite sides being equal and the opposite sides being parallel: Parallelogram, Rhombus, Rectangle, and Square.

Parallelogram consists of two pairs of parallel lines. The opposite sides are both parallel and equal. However, all sides are not equal.

Rhombus consists of two pairs of parallel lines. The opposite sides are both parallel and equal. However, all sides are equal.

Rectangle consists of two pairs of parallel lines. The opposite sides are both parallel and equal. The adjacent lines are perpendicular to each other. However, all sides are not equal.

Square consists of two pairs of parallel lines. The opposite sides are both parallel and equal. The adjacent lines are perpendicular to each other. However, all sides are equal!!!

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)