I need help, Struggling

Question

Rhombus ABCD is shown below.

  What is the perimeter of the rhombus?

1. A.14 units
2. B.10 units
3. C.40 units
4. D.96 units

Answer 1

In a rhombus all 4 sides are equal. So, first we need to find the length of one side, and then multiply it by 4.

First, Find the length of side AB

AOB is a right triangle, so we can apply the Pythagorean Theorem to find the length of the Hypotenuse:

H = √(a² + b²)

AB = √(AO²) + (OB)²

AB = √6² + 8²

AB = √36 + 64

AB = √100

AB = 10 units

-Then, find the perimeter of the rhombus: 10 x 4 = 40 units. Option C.