Question

What is the perimeter of the rhombus ?

Answer 1

20 units.

Explanation:

Formula for the perimeter of a rhombus = 4a.

Meaning all sides multiplied by 4

The point (1,0) is made A.

From D to F is 8 units, and from E to G is 6 units. Half of 6 is 3, and half of 8 is 4.

Imagine a right-angled triangle on one side of the rhombus(eg. ∆GAD), meaning that you'll have to find the hypotenuse.

*Use Pythagoras Theorem*

x² = 3² + 4²

x² = 9 + 16

x = √25

x = 5

The perimeter of the rhombus if one side is 5 units:

5 units × 4 sides = 20 units.

Answer 2

20 units

Explanation:

To find the hypotenuse length of one of the sides of this rhombus we have to use the pythagoram theorem.

if you make the point (1,0) the origin, we can see that it forms a triangle, with a base of 3, and a height of 4, next to the BE line.

a^2+b^2=c^2

9+16=c^2

25=c^2

c=5

if each diagnol length is 5 units long, the perimeter is

20 units.