The shape is a parallelogram with perimeter of 12.5 units.
Quadrilateral
A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are parallelogram, square, rectangle, rhombus, kite.
The shape has vertices at A(0,0), B(1,2), C(5,2) and D(4,0)
[tex]AB=\sqrt{(2-0)^2+(1-0)^2}= 2.24\ units\\\\BC=\sqrt{(2-2)^2+(1-5)^2}= 4\ units\\\\CD=\sqrt{(0-2)^2+(4-5)^2}= 2.24\ units\\\\AD=\sqrt{(0-0)^2+(4-0)^2}= 4\ units[/tex]
Since opposite sides are equal, hence it is a parallelogram.
Perimeter = 2(2.24 + 4) = 12.5 units
The shape is a parallelogram with perimeter of 12.5 units.
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