Question

what is the perimeter of rhombus abcd?
10 units
20 units
2√7 units
4√7 units

Explanation:

Step1: Find the side length of the rhombus

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Let \(A(1,1)\) and \(B(-2,-3)\). Then \(x_1 = 1,y_1 = 1,x_2=-2,y_2 = -3\).

$$
LATEXBLOCK0
$$

Step2: Calculate the perimeter of the rhombus

Since all sides of a rhombus are equal and the perimeter \(P=4s\) (where \(s\) is the side - length). Here \(s = 5\), so \(P=4\times5=20\)

Answer:

B. 20 units