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  • Math (2,046)
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    • Understand Area as Additive
      Area Of Composite Figures
      Understand Area as Additive

      Have your own math-themed party by understanding areas as additives.

      3 4 3.MD.7.a
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    • Add to Find the Area
      Area Of Composite Figures
      Add to Find the Area

      Enter the madness of math-multiverse by exploring how to add to find the area.

      3 4 3.MD.7.a
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    • Identify the Area of Composite Shapes
      Area Of Composite Figures
      Identify the Area of Composite Shapes

      Enjoy the marvel of mathematics by learning to identify the area of composite shapes.

      3 4 3.MD.7.a
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    • Find the Area by Multiplying the Side Lengths
      Area
      Find the Area by Multiplying the Side Lengths

      Enjoy the marvel of mathematics by learning to find the area by multiplying side lengths.

      3 4 3.MD.7
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    • Area with Unit Squares and Side Lengths
      Area
      Area with Unit Squares and Side Lengths

      Ask your little one to find the area with unit squares and side lengths to play this game.

      3 4 3.MD.7
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    • Understanding Area
      Area
      Understanding Area

      Dive deep into the world of math by understanding area.

      3 4 3.MD.7
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    • Find the Area of the Shapes
      Area
      Find the Area of the Shapes

      Sharpen your math skills by finding the area of the given shapes.

      3 4 4.MD.3
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    • Find Area in Square Units
      Area
      Find Area in Square Units

      Enjoy the marvel of math-multiverse by exploring how to find area in square units.

      3 3.MD.6
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    • Area of Composite Figure
      Area
      Area of Composite Figure

      Shine bright in the math world by learning about the areas of composite figures.

      3 4 3.MD.7.a
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    • Identify the Area with Unit Squares
      Area
      Identify the Area with Unit Squares

      Identify the area with unit squares to play this game.

      3 4 3.MD.6
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    • Build the Area
      Area
      Build the Area

      Kids must build the area to practice area and perimeter.

      3 3.MD.6
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    • Multiply to Find the Area
      Area
      Multiply to Find the Area

      Begin the exciting journey of becoming a math wizard by learning how to multiply to find the area.

      3 4 3.MD.7
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    • Determine the Area of Rectilinear Shapes
      Area
      Determine the Area of Rectilinear Shapes

      Learn to determine the area of rectilinear shapes.

      3 4 3.MD.6
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    • Find the Area of the Composite Figure
      Area
      Find the Area of the Composite Figure

      Learn to solve math problems by finding the area of the composite figures.

      3 4 3.MD.7.a
      VIEW DETAILS
    • Find Area by Multiplying Side Lengths
      Area
      Find Area by Multiplying Side Lengths

      Kids must find the area of the shapes by multiplying their side lengths.

      3 4 4.MD.3
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    • Find the Area with Unit Squares
      Area
      Find the Area with Unit Squares

      Take a look at how to find the area with unit squares in this game.

      3 4 3.MD.6
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    • Multiply Side Lengths to Find the Area
      Area
      Multiply Side Lengths to Find the Area

      Enter the madness of math-multiverse by exploring how to multiply side lengths to find the area.

      3 4 3.MD.7
      VIEW DETAILS
    • Find the Area of Shapes Using Unit Shapes
      Area
      Find the Area of Shapes Using Unit Shapes

      Learn to find the area of shapes using unit shapes.

      3 4 4.MD.3
      VIEW DETAILS

    What Is Area?

    Area is the amount of space a shape takes up. It's the space inside a figure. Area is a measure of the size of a two-dimensional shape. It tells us how much space is enclosed within the boundaries of the shape. We can also think of area as the number of little unit squares (unit square: a square with side 1 unit) that fit inside the shape.

    For example, imagine a rectangular sheet of paper on a table; the area is the space the paper covers on the table's surface. Area is measured in square units, like square inches or square centimeters. 

    Area is important in various real-life situations, such as measuring the size of a room, calculating the area of a garden, or determining the space needed for a carpet.

    Area of Different 2D Shapes

    In this section, we will discuss the area formulas for some common 2D shapes. 

    If you are looking for ‘Area of shapes games’ for your child, do check out these Area interactive games - Area of 2D Shapes Games for Kids!

    Area of Triangle

    The area of a triangle is half the product of its base and height. To find the area, multiply the length of the base by the height, then divide the result by 2. 

    In a triangle, the base is the side of the triangle that is used as a reference for measuring the height. It is typically the longest side of the triangle and is usually drawn horizontally. The height is then measured perpendicular to the base from the opposite vertex.

    Area of triangle \( = \frac{1}{2} \times \)  Base \(\times\) Height

    Example: If a triangle has a base of 6 units and a height of 4 units, its area would be 

    \(\frac{1}{2}\times\)  Base \(\times\) Height \( = \frac{1}{2} \times 6 \times 4 = 12 \) square units.

    Note: This is the standard formula, but there are also alternative methods, such as Heron's formula, which can be used to find the area of a triangle when the lengths of all three sides are known. Heron's formula eliminates the need to find the height and is particularly useful for triangles where the height is challenging to determine. Both methods provide accurate results and are used depending on the given information in a triangle problem.

    Area of Rectangle

    The area of a rectangle is calculated by multiplying the length and width of the shape. 

    Area of a square \(=\) Length \(\times\) Width

    Example: If a rectangle is 6 units long and 4 units wide, its area would be 

    Area \(= 6 \times 4 = 24\) square units.

    Area of Square

    The area of a square is calculated by squaring the length of one of its sides. In simple terms, you multiply the side length by itself. 

    Area of a square \(=\) Side2 = Side \(\times\) Side

    Example: If a square has a side length of 5 units, its area would be 

    Area \(= 5 \times 5\) \(= 25\) square units.

    Note: A square is a special kind of a rectangle. All squares are rectangles, but all rectangles are not squares.

    Area of Parallelogram

    The area of a parallelogram is found by multiplying the base (which can be any side) of the parallelogram by its corresponding height (perpendicular distance between the base and the opposite side). The formula for the area of a parallelogram is:

    Area of a Parallelogram \(=\) Base\(\times\)  Height

    Example: If a parallelogram has a base of 8 units and a height of 5 units, its area would be

    Area \(= 8 \times 5 = 40\) square units.

    Area of a Circle

    Area of a circle is calculated using the formula A \(= \pi r^{2}\), where 

    π (pi) is a mathematical constant approximately equal to 3.14159 (sometimes approximated as \(\frac{22}{7}\)), 

    and r is the radius of the circle. 

    The radius is the distance from the center of the circle to any point on its circumference. 

    Example: If the radius of a circle is 5 units, its area would be

    Area \(=  A = \pi \times 5^{2} = 25\pi\) square units = 78.54 square units (approximately)

    Area of a semicircle is half the area of a circle.

    Area of a semicircle \(= \frac{\pi r^{2}}{2}\)

    Area of a quarter circle is one-fourth the total area of a circle.

    Area of a quarter circle \(= \frac{\pi r^{2}}{4}\)

    Area of Irregular Shapes

    Irregular shapes are two-dimensional figures that do not have equal sides or equal interior angles, making their area calculations more complex than regular shapes. 

    Irregular shapes do not have a direct formula for area calculation. To find the area of irregular shapes, they can be divided into smaller recognizable shapes, such as triangles, rectangles, and circles, whose area can be easily calculated. Summing up their individual areas will give the total area of the irregular shape. 

    Area of Composite Figures (Compound Shapes)

    Composite shapes are formed by combining two or more simple shapes (triangles, rectangles, circles) to create a more complex figure. Composite shapes can be irregular or regular depending on the dimensions like lengths and angles.

    To find the area of a composite shape, it is divided into smaller, recognizable shapes. Each smaller shape's area is calculated individually using the appropriate formula. The total area of the composite shape is obtained by adding the areas of the individual shapes together. 

    For hands-on practice, do visit and play the Find the Area of Composite Figure Game!

    How To Find Area Using Unit Squares

    To find the area using a unit squares grid, follow these simple steps:

    i) If the shape covers half the region of the square, it represents 0.5 square unit area.

    ii) If the shape covers more than half the region of the square, it is approximated to 1 square unit area.

    iii) If the shape covers less than half the region of the square, it is usually approximated to 0 square unit area.

    Example: Find the area of the given trapezoid.

    Area of trapezoid using unit squares

     

    Number of completely filled squares = 10

    More than half filled squares = 3

    Apart from this, we have one square that is approximately half-filled.

    Total area = 10 + 3 + 0.5 = 13.5 square units

    Now, let’s find the area using formula.

    a = 3 units

    b = 6 units

    h = 3 units

    Area of trapezoid \(= \frac{(a + b) h}{2} = \frac{(6 + 3)  3}{2} =\) 13.5 square units

    Allow us to assist you in finding area games that will aid in your learning journey. Use the above steps and play this amazing Find the Area with Unit Squares Game. 

    Finding Area: Grid Paper Game

    Here’s an interesting Area game that can be played on grid paper. It is based on the concept of unit squares we discussed earlier.

    Wall-Painting Area Game:

    wall-painting area game

     

    These activities help kids understand ‘area’ in square units, ranking shapes visually and clarifying the importance of numerically calculated area. Math games using grid paper explain area and perimeter with real-life examples, dispelling misconceptions and improving math comprehension.

    How Can Children Use the Concept of Area in Real Life?

    Here are some simple ways to help kids incorporate and relate the concept of area in real-life situations:

    Importance of Introducing the Concept of Area to Kids through Games

    Exploring ‘Area’: Math Games vs. Traditional Teaching

    What Are 5 Best Fun Games and Activities Based on the Area of shapes?

    Check out some of the best Area Math games online by SplashLearn:

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