Question

the perimeter of a rhombus is 28 centimeters. what is the length of each side of the rhombus?
○ 3 cm
○ 4 cm
○ 6 cm
○ 7 cm

Explanation:

Step1: Recall the property of a rhombus

A rhombus has four equal - length sides. The formula for the perimeter \(P\) of a rhombus is \(P = 4s\), where \(s\) is the length of each side.

Step2: Solve for the side length

We know that the perimeter \(P=28\) centimeters. From the formula \(P = 4s\), we can solve for \(s\) by dividing both sides of the equation by 4. So \(s=\frac{P}{4}\).
Substitute \(P = 28\) into the formula: \(s=\frac{28}{4}=7\) centimeters.

Answer:

7 cm (corresponding to the option "7 cm")