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Area of Rectangle

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How to Calculate the Area of a Rectangle: A Comprehensive Guide

Comprehensive Definition, Description, Examples & Rules 

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What will you learn

In mathematics, the rectangle is a core concept. It is a quadrilateral shape with a right angle at each of its four sides. Sometimes, students get confused with the properties of rectangles, parallelograms, and squares. All three shapes are different from each other and have different formulas. A rectangle is shaped with a right angle at four sides. In a square, all four sides are equal, and in a parallelogram, there is no right angle. You will find rectangle properties, formulas, and calculations on this page. In the end, there is a worksheet through which students can check their performance.

Introduction

Students of every age are expected to know about the rectangle formula. So, it is necessary to understand its importance in geometry.

Briefly introduce the concept of a rectangle and its importance in geometry.

A rectangle is considered a polygon with four sides. It has a right angle on all four sides. Rectangular opposite sides have equal length, which makes it distinct from a square shape. In a rectangle, each side meets at a right angle. Its parallel sides are equal; therefore, it is also referred to as an equiangular rectangle.

For example

If one side of the triangle is 10 m, then the other opposite side will be 10 m.

Importance of geometry

  • A rectangle is a crucial shape in geometry that is useful in understanding more shapes like squares, etc. 
  • The calculation of rectangle area and perimeter is important because this formula helps people calculate rectangular-shaped area or perimeter in practical life. 
  • A rectangle is useful in house building or measuring a rectangular plot as well.

What is the area of a rectangle?

The area of a rectangle is calculated as the area enclosed by the four boundaries of the rectangle. It is calculated by the product of one side length and the breadth of the rectangle.

Define what is the area of a rectangle

The area of a rectangle is the area that is covered within the four boundaries of the rectangle. If you want to know about the area of a rectangle plot, it means the region enclosed within the four sides of the rectangle. There is a specific formula to calculate the area of a rectangle that is a product of length and breadth.

The area of a rectangle is length* breadth.

Explain why it’s a fundamental geometric concept

Rectangle is a basic geometric concept because it provides an understanding of other shapes as well.

  • You can easily calculate the area of a rectangular shape enclosed by the four boundaries of a rectangle by using the area of the rectangle.
  • In practical life, the area of a rectangle is useful in building houses by measuring the rectangular plot and shape.
  • It is also significant in various industries and everyday life.

Mention that it’s measured in square units

  • The rectangle shape is also calculated in square units because it has two equal sides.
  • The square unit of a rectangle is useful in avoiding confusion related to calculating area.

Calculating the area of a rectangle

You can easily calculate the area of a rectangle using the product of length and breadth.

Provide the formula for calculating area of a rectangle:

The area of a rectangle is a product of length and breadth.

  • Area = length x width.

Offer examples with different dimensions for better understanding.

  • Find out the area of a rectangle with a length of 6cm and a breadth of 10cm.

The area of a rectangle is = length* breadth.

Area of rectangle = 6 * 10

60 cm square.

  • Find out the area of a rectangle with an 8-meter length and a 5-meter breadth.

The area of a rectangle is = length* breadth.

Area of rectangle = 8 * 5

= 40m square

  • Find out the area of a rectangle of 2.0 m in length and 4 m in breadth.

The area of a rectangle is = length* breadth.

Area of rectangle = 8 * 5

= 40m square

These are the steps to calculate the rectangular formulas. It can help students calculate the rectangular area easily.

How to Find the Area of a Rectangle

You can find out the area of a rectangle by multiplying its length and breadth.

Explain how to measure the length and width of a rectangle accurately.

  • You can use a scale or tape to measure the length of a rectangle.
  • You need to measure both length and breadth separately.
  • You need to use the ruler properly to measure the rectangle. You can measure the length using the numbers shown on the scale.

Highlight the importance of using the correct units (e.g., meters, inches, etc.)

It is necessary to use the correct units for the right calculations. If you do not use the right units, then it will affect your answer as well.

Provide practical tips for accurate measurements

You need to follow these suggestions to get accurate measurements:

  • You should check the length and breadth twice.
  • You should observe length by measuring with a scale or tape.
  • After measuring length and breadth, you can calculate the rectangle area.
  • It is necessary to use units in the end.

Real-World Applications

Rectangle calculations can be used in the real world as well. Do you ever wonder how you would measure a rectangular farm without using the rectangle formula? It is not possible. The rectangle formula is essential to use in daily life for measuring the perimeter and area of rectangular shapes.

Discuss real-life scenarios where knowing how to find the area of a rectangle is useful.

  • The rectangle formula is useful in calculating the area of flooring. Calculating the area makes it easy to purchase the flooring material as per the usage.
  • A carpenter uses the rectangle formula to find out the area or perimeter of a rectangle board.
  • The rectangle formula is also helpful in painting. You can purchase the paint as per the requirements by measuring the area of the rectangular wall.
  • On a farm, a rectangular farmer can crop the grain by calculating the area of the farm.
  • While building a house, architects use the area of a rectangle to determine the design of the walls.
  • An artist uses the area of a rectangle to create a picture within a specific area, and for that, the artist uses the area and perimeter of the rectangle for effective art.

There are various other instances in our daily lives in which we use the area of a rectangle.

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Key Takeaways

  1. Rectangle is a significant concept in math; it is helpful in measuring the rectangular shape.

  2. The area of a rectangle is a product of length and breadth. It is practically applicable in life. The area of rectangles is used by common people and professionals for their correct calculations.

  3. You don’t need to get confused between parallax, square, and rectangle. These three shapes have different properties.

  4. If you want to advance your math skills, then you can find this blog helpful.

  5. Students can improve their calculations by practising on the worksheet that is also given on this page. This will help you develop your understanding of this concept.

Quiz

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Frequently Asked Questions

You must know the breadth to find out the area of a rectangle because its formula includes the product of length and breadth.

In today’s world, the area of a rectangle is used. It is used in every industry. You can find the area of the rectangle farm by using the area of the rectangle formula.

The perimeter of a rectangle is the sum of its boundaries, whereas the area of a rectangle is the area within the boundaries of the rectangle. The formula for rectangle perimeter is 2 * (length + breadth).

The area of a rectangle is its length and breadth.

You cannot find out the area of irregular shapes by using the rectangle formula.

You can practice by practising a number of questions related to the area of a rectangle. You can refer to Edulyte’s worksheet. This worksheet will help you improve your math skills and develop your understanding of rectangle shapes and their formulas.

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2D Shapes2cosacosb Formula30-60-90 Formulas3D ShapesAbsolute Value FormulaAcute AngleAcute Angle triangleAdditionAlgebra FormulasAlgebra of MatricesAlgebraic EquationsAlgebraic ExpressionsAngle FormulaAnnulusAnova FormulaAnti-derivative FormulaAntiderivative FormulaApplication of DerivativesApplications of IntegrationArc Length FormulaArccot FormulaArctan FormulaArea Formula for QuadrilateralsArea FormulasArea Of A Sector Of A Circle FormulaArea Of An Octagon FormulaArea Of Isosceles TriangleArea Of ShapesArea Under the Curve FormulaArea of RectangleArea of Regular Polygon FormulaArea of TriangleArea of a Circle FormulaArea of a Pentagon FormulaArea of a Square FormulaArea of a Trapezoid FormulaArithmetic Mean FormulaArithmetic ProgressionsArithmetic and Geometric ProgressionAssociative Property FormulaAsymptote FormulaAverage Deviation FormulaAverage Rate of Change FormulaAveragesAxioms Of ProbabilityAxis of Symmetry FormulaBasic Math FormulasBasics Of AlgebraBinary FormulaBinomial Probability FormulaBinomial distributionBodmas RuleBoolean AlgebraBusiness MathematicsCalculusCelsius FormulaCentral Angle of a Circle FormulaCentral Limit Theorem FormulaCentroid of a Trapezoid FormulaChain RuleChain Rule FormulaChange of Base FormulaChi Square FormulaCirclesCircumference FormulaCoefficient of Determination FormulaCoefficient of Variation FormulaCofactor FormulaCompound Interest FormulaConditional Probability FormulaConeConfidence Interval FormulaCongruence of TrianglesCorrelation Coefficient FormulaCos Double Angle FormulaCos Square theta FormulaCos Theta FormulaCosec Cot FormulaCosecant FormulaCosine FormulaCovariance FormulaCubeCylinderDiscover the world of MathsEllipseEquilateral triangleEuler’s formulaHeptagonIntegrationIntegration by partsLinesLocusNatural numbersNumber lineParallelogramPerimeterPolygonPrismProbabilityPyramidSetsSphereSquareStandard deviation formulaSubtractionSymmetryTimeVector
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