Perimeters and Areas of Rectangles
In this article, we will learn how to calculate the perimeter and area of a rectangle
Rectangles are closed \(2\)-dimensional figures having \(4\) sides. The opposing sides of rectangles are identical as well as parallel to one another as well and all the rectangle’s angles are equal \(90°\).
A few of the vital characteristics are rectangles shown here.
- Rectangles are quadrilaterals.
- The opposing sides’ rectangles are identical and parallel to one another.
- The inner angle of a rectangle at each of the vertexes equals \(90°\).
- The total of all inner angles equals \(360°\).
- Its diagonals bisect one another.
- The diagonals’ length is identical.
- The diagonals’ length can be achieved via the Pythagoras theorem. The diagonal’s length with sides a and b is, diagonal = \(\sqrt{(a^2+b^2})\).
- Because the rectangle’s sides are parallel, it’s additionally known as a parallelogram.
- Every rectangle is a parallelogram, however, not every parallelogram is a rectangle.
The Absolute Best Book for 4th Grade Students
Related Topics
- Quadrilaterals and Rectangles
- Perimeters and Areas of Squares
- How to Find the Perimeter of Polygons?
- How to Find the Area and Circumference of Circles?
Rectangle’s area:
A rectangle’s area is the number of unit squares which is able to fit into a rectangle. So, the space inhabited by the rectangle is the rectangle’s area.
The formula to get a rectangle’s area where the length and width are ‘\(l\)’ and ‘\(w\)’ individually is the outcome of its length and width, so:
Area of a Rectangle \(= (l × w)\)
A Perfect Book for Grade 4 Math Word Problems!
Rectangle’s perimeter
A rectangle’s perimeter is the length of the complete rectangle’s boundary. It may be taken as the calculation of the complete measurement of the rectangle’s length and width and it’s shown in linear units such as inches, centimeters, etc.
The formula to get the perimeter, ‘\(P\)’ of a rectangle where the width and length are ‘\(w\)’ and ‘\(l\)’ respectively is \(2(l + w)\).
Formula for the Perimeter of a Rectangle \(= 2 (Length + Width)\)
Perimeters and Areas of Rectangles – Example 1:
Find the area and perimeters of a rectangle with \(12\) cm length and \(6\) cm width
Solution:
The formula to get a rectangle’s area = Length × Width. So, the rectangle’s area is \(12 × 6=72\)
The formula for the perimeter of a rectangle = \(2\) (Length + Width). So, the perimeter of a rectangle \(= 2(12+6)=36\)
Perimeters and Areas of Rectangles – Example 2:
Find the area and perimeter of the rectangle
Solution:
The formula to get a rectangle’s area = Length × Width. So, the rectangle’s area is \(7 × 4=28\)
The formula for the perimeter of a rectangle = \(2\) (Length + Width). So, the perimeter of a rectangle \(= 2(7+4)=22\)
Exercises for Perimeters and Areas of Rectangles
Find the perimeter and area of rectangles
1)
2)
Answers
- \(\color{blue}{42,104}\)
- \(\color{blue}{60,200}\)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- The Ultimate ASVAB Math Course (+FREE Worksheets & Tests)
- The Ultimate 6th Grade FSA Math Course (+FREE Worksheets)
- 6th Grade STAAR Math FREE Sample Practice Questions
- 6th Grade OST Math Practice Test Questions
- Top 10 Tips You MUST Know to Retake the TSI Math
- Math Tutor Online: Practice Guide
- 4th Grade MCAS Math FREE Sample Practice Questions
- How to Calculate Segment Lengths in Circles Using the Power Theorem
- 10 Most Common 8th Grade SBAC Math Questions
- 7th Grade ACT Aspire Math FREE Sample Practice Questions
What people say about "Perimeters and Areas of Rectangles - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.