The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?
A. 3 cm
B. 4 cm
C. 6 cm
D. 7 cm
Answer (2)
The length of each side of the rhombus is 7 cm, calculated by dividing the perimeter of 28 cm by 4. Therefore, the correct answer is option D: 7 cm. This indicates that all four sides of the rhombus are equal in length.
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The perimeter of a rhombus is given as 28 cm. Since a rhombus has four equal sides, we find the length of each side by dividing the perimeter by 4:
The perimeter of the rhombus is P = 28 cm.
The formula for the perimeter of a rhombus is P = 4 s , where s is the side length.
Divide the perimeter by 4 to find the side length: s = 4 28 = 7 cm.
The length of each side of the rhombus is 7 cm .
Explanation
Problem Analysis The problem states that the perimeter of a rhombus is 28 centimeters. We need to find the length of each side of the rhombus. A rhombus has four equal sides, so we can divide the perimeter by 4 to find the length of one side.
Formula and Given Information Let s be the length of each side of the rhombus. The perimeter P is given by the formula: P = 4 s We are given that P = 28 cm.
Solve for Side Length Substitute the given perimeter into the formula: 28 = 4 s Now, solve for s by dividing both sides of the equation by 4: s = 4 28 s = 7 Therefore, the length of each side of the rhombus is 7 centimeters.
Final Answer The length of each side of the rhombus is 7 cm.
Examples
Understanding the properties of shapes like a rhombus is useful in various real-life scenarios. For example, if you're designing a tile pattern using rhombus-shaped tiles and you know the total distance around the tile you want to use (the perimeter), you can quickly calculate the length of each side to ensure the tiles fit perfectly in your design. This can also be applied in creating symmetrical designs in art or architecture, where knowing the side lengths helps maintain balance and proportion.
