Perimeter of the parallelogram EFGH is 11.76 units
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Given,
The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)
We know that,
In parallelogram EF=HG and EH=FG
Perimeter of the Parallelogram = 2(a + b)
Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]
a =1.41 units
Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]
[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]
b =4.47 units
Perimeter of the Parallelogram = 2(a + b)
=2(1.41+4.47)
=11.76 units
Hence, the Perimeter of the Parallelogram EFGH is 11.76 units
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