与所有o菱形是一个平行四边形f its sides being equal. A square is a rhombus with all of the angles being equal as well as all of the sides. Both squares and rhombuses have perpendicular diagonal bisectors that split each diagonal into 2 equal pieces, and also splitting the quadrilateral into 4 equal right triangles.

With this being said, we know the Pythagorean Theorem would work great in this situation, using half of each diagonal as the two legs of the right triangle.

whereis the hypotenuse.

-->

We find the hypotenuse to be 10cm. Since the hypotenuse of each triangle is a side of the rhombus, we have found what we need to find the perimeter.

Each side is the same, so we add all 4 sides to find the perimeter.

We should begin with a picture.

We should recall several things. First, all four sides of a rhombus are congruent, meaning that if we find one side, we can simply multiply by four to find the perimeter. Second, the diagonals of a rhombus are perpendicular bisectors of each other, thus giving us four right triangles and splitting each diagonal in half. We therefore have four congruent right triangles. Using Pythagorean Theorem on any one of them will give us the length of our sides.

With a side length of 17, our perimeter is easy to obtain.

Our perimeter is 68 units.

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:





Then apply the perimeter formula:

, wherea side of the rhombus.

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:









Since, perimeter, whereis equal to

Perimeter=

To find the perimeter, apply the formula:, where

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:










, where

To find the perimeter of this rhombus, apply the formula:, where

In order to solve this problem, use the given information to work backwards to find a side length of the rhombus:









, where

To find the perimeter, first convertfoot into the equivalent amount of inches. Since,and,is equal toinches.

Then apply the formula, whereis equal to the length of one side of the rhombus.

Since,

The solution is:

In order to find the perimeter of this rhombus, first convertfrom a mixed number to an improper fraction:



Then apply the formula:, whereis equal to one side of the rhombus.

Since,the solution is: