Respuesta :
Using the distance formula to calculate the length of each side, we find that each side is 5. Since all of the sides are equivalent, the perimeter is 20.
The required perimeter of rhombus is 20units.
Given that,
The vertices of rhombus are d(1, 4), e(4, 0), f(1, –4), and g(–2, 0).
We have to find,
The perimeter of the rhombus.
According to the question,
The Perimeter of a rhombus is the total distance travelled along the border of a rhombus. So the formula to calculate the perimeter of a rhombus is: P = 4 × a . where 'a' is a length of side of rhombus.
The length of DE ,
[tex]d = \sqrt{(x_2-x_1)^{2}+ (y_2-y_1)^{2} } \\d = \sqrt{(4-1)^{2} + (0-4)^{2} } \\d = \sqrt{(3)^{2} + (4)^{2} } \\d = \sqrt{9+16} \\d = \sqrt{25} \\d = 5[/tex]
In principle, a rhombus has four equal sides, so the perimeter is ,
Perimeter of rhombus = 4a = 4(5) = 20units.
Hence, The required perimeter of rhombus is 20units.
For more information about Rhombus click the link given below.
https://brainly.com/question/21871409
