Question

A rhombus is a four-sided figure with all sides the same length. Points F(-2,-2), G(-2, 3), and H(2, 6) are three vertices of rhombus FGHJ. Vertex J is directly below vertex H. What is the perimeter of the rhombus? Show your work.​

Answer 1

20

Explanation:

The sides of the 4-sided figure are the same length, so we can find the perimeter (sum of side lengths) by multiplying one side length by 4.

Side length

Points F(-2, -2) and G(-2, 3) lie on the same vertical line: x = -2. The distance between them is the difference of their y-coordinates:

FG = (3 -(-2)) = 5

Each side is 5 units long.

Perimeter

The length of the four sides is ...

P = 4s = 4(5) = 20

The perimeter of the rhombus is 20 units.