Buzz
Part of the series guiding how to calculate perimeters of basic geometric shapes such as squares, rectangles, parallelograms,..., today Mytour.vn introduces students, parents how to calculate the perimeter of a rhombus. With the content in this article, students can refer, understand the essence of a rhombus and apply it to solve perimeter calculation exercises in 4th grade math in their curriculum.
Concept of rhombus perimeter, rules for calculating rhombus perimeter
Calculating the perimeter of a rhombus
1. Formula for calculating the perimeter of a rhombus.
- Theory of rhombus perimeter calculation: The perimeter of a rhombus equals 4 times the length of its side
- Formula for rhombus perimeter calculation: P = 4 x a
Where:
P represents the perimeter of the rhombus
a represents the length of the side
2. Understanding the concept, theory of rhombus perimeter calculation
A rhombus is a special case of a parallelogram with two adjacent sides equal in length, two diagonals perpendicular to each other, intersecting at their midpoints.
With these characteristics, a rhombus also possesses all the properties of a parallelogram. If you don't remember the formula for the rhombus perimeter, you can use the formula for the parallelogram perimeter to solve exercises (P = a+b +c + d)
To understand more about the concept, recognition signs of a rhombus, you can refer Here
Some special cases of a rhombus:
- A rhombus with 1 right angle is considered a square (the other 3 angles of the rhombus will also be right angles)
- The intersection of the diagonals in a rhombus is the center of symmetry of the rhombus
Image of a rhombus, theory of rhombus perimeter calculation
3. Exercise calculating the perimeter of a rhombus for 4th-grade math
To understand the nature and method of calculating the rhombus perimeter for 4th graders, students need to refer to exercises related to rhombus perimeter calculation from easy to difficult. Below are some types of exercises on rhombus perimeter calculation from basic to advanced that Mytour.vn has compiled.
Exercise 1: Calculate the perimeter of rhombus ABCD when the side length is 10cm
Solution
Applying the formula for calculating the rhombus perimeter, we have
- Perimeter of rhombus ABCD equals: P (ABCD) = 4 x 10 = 40 (cm)
Answer: The perimeter of rhombus ABCD is 40 cm
Exercise 2: Calculate the lengths of the sides of rhombus ABCD when the perimeter of rhombus is 60cm
Solution
Let a be the lengths of the sides of rhombus. Applying the formula for calculating the rhombus perimeter, we have
Perimeter of rhombus ABCD = 4 x a = 60cm
Therefore, the length of one side of the rhombus is 60/4 = 15 cm
Answer: The length of one side of rhombus ABCD is 15 cm
Exercise 3: Advanced Exercise
A rhombus-shaped playground is expanded by extending 2 sides to the right by 3 m, and 2 sides at the bottom by 10 m, becoming a parallelogram with a perimeter of 106 m. Calculate the original length of the playground side.
Solution
Let a be the length of the side of the rhombus
Using the formula to calculate the perimeter of a parallelogram, we have: P (playground) = (a+b) x 2 = ((a+3) + (a+10)) x 2 = 106
Solving the equation above, we can easily find the original length of the playground side is 22.5 cm
Answer: The length of the original playground side is 22.5cm
With all the information about the concept, formulas for rhombus perimeter calculation introduced in this article, it is hoped that students, parents have clearly understood the concept, properties, types of rhombus perimeter calculation exercises for review, and application in solving their 4th grade math exercises.
https://Mytour.vn/cach-tinh-chu-vi-hinh-thoi-25725n.aspx
Along with the rhombus, the rectangle is also a geometric shape in the 4th grade math curriculum. If you are having difficulty in solving exercises related to perimeter, area of rectangle, you can refer to the article on rectangle perimeter calculation in this article by Mytour.vn.
