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
- How to Multiply Monomials? (+FREE Worksheet!)
- CLEP College Algebra FREE Sample Practice Questions
- Top Calculators for the TASC 2023: Quick Review
- How to Define Product-to-Sum and Sum-to-Product Formulas
- How to Manage Your Time Effectively on the ISEE Math Test?
- How long is the SAT Test?
- The Ultimate TNReady Algebra 1 Course (+FREE Worksheets)
- How to Find Limits at Infinity
- How to Use Models to Multiply Two Fractions?
- Why Math is a Difficult Subject?
What people say about "Perimeters and Areas of Rectangles - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.