The length of each side of the rhombus is 54.25 cm
Further explanation
To solve the above questions, we need to recall some of the formulas as follows:
Area of Square = (Length of Side)²
Perimeter of Square = 4 × (Length of Side)
Area of Rectangle = Length × Width
Perimeter of Rectangle = 2 × ( Length + Width )
Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Rhombus = 4 × ( Length of Side )
Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )
Let us now tackle the problem !
Given:
Perimeter of Rhombus = P = 217 cm
Unknown:
Length of each side of the rhombus = S = ?
Solution:
This problem is about Perimeter of Rhombus.
Rhombus has 4 equal sides.
[tex]\texttt{Perimeter of Rhombus} = 4 \times \texttt{Length of Each Side}[/tex]
[tex]P = 4 \times S[/tex]
[tex]217 = 4 \times S[/tex]
[tex]S = 217 \div 4[/tex]
[tex]S = \boxed {54.25 ~ \texttt{cm}}[/tex]
Learn more
- The perimeter of a polygon : https://brainly.com/question/6361596
- The perimeter of a rectangle : https://brainly.com/question/7619923
- The perimeter of a triangle : https://brainly.com/question/2299951
Answer details
Grade: College
Subject: Mathematics
Chapter: Two Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width
