Answer:
Perimeter of Rhombus = 104 inches
Step-by-step explanation:
To find the Perimeter of Rhombus we use the formula
Perimeter of rhombus = 4*Length
We need to find the length of rhombus.
if the rhombus has diagonals, it makes four right angled triangles (as shown in figure).
Since 4 triangles are made so, each side of triangle is half of the length of the diagonal.
In our case: Length of diagonals are: 20 and 48
but the Length of sides of triangle will be: 10 and 24
To find the side of rhombus, we can use Pythgoras theorem since the triangles are right angled.
c² = a²+b²
c² = (10)² + (24)²
c² = 100 + 576
c² = 676
√c²= √676
c = 26
So, the length of side of rhombus is 26 inches
Perimeter = 4*length
= 4*26
= 104 inches
Perimeter of Rhombus = 104 inches.
