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: Find length of side DE

Use distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
For D(1,4) and E(4,0):
$\sqrt{(4-1)^2+(0-4)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

Step2: Calculate perimeter of rhombus

All sides of rhombus are equal, so perimeter = $4\times$ side length
$4\times5=20$

Answer:

20 units