Question

the vertices of rhombus defg are d(1,4), e(4,0), f(1, -4), and g(-2,0). what is the perimeter of the rhombus? units

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For side \(DE\) with \(D(1,4)\) and \(E(4,0)\):

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Step2: Use the property of a rhombus

In a rhombus, all sides are equal. So the perimeter \(P=4\times\) side length. Since the side length \(s = 5\) (from Step1).

$$P = 4\times5$$

Answer:

\(20\)