Area of a Rectangle Definitions and Examples

Area of a Rectangle Definitions, Formulas, & Examples

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    Area of a Rectangle Definitions and Examples

    Introduction

    In mathematics, a rectangle is a two-dimensional figure with sides of equal length. A rectangle can be thought of as a sort of box; you can put things inside it, and it will always fit. In this blog post, we will explore the various definitions of area and examples of how it can be used in different situations. From geometry to real-world problems, learning about area is essential for anyone trying to improve their math skills.

    What is Area of a Rectangle?

    The area of a rectangle is the total surface area of the rectangle.

    Area of a Rectangle Definition

    A rectangle is a two-dimensional shape that has the width and length of its sides. A rectangle can be defined by its width and length, or by its height and width. The area of a rectangle is the square of its length multiplied by its width.

    A rectangle’s area can be found using the following formula:

    Area= Length * Width

    In this equation, “a” is the length of the side, “b” is the width of the side, and “c” is the depth or thickness of the side.

    Area of a Rectangle Formula

    The area of a rectangle is the length times the width. The area of a square is 4 times the length times the width.

    How to Calculate Area of Rectangle?

    The area of a rectangle is the length times the width. To calculate the area of a rectangle, use the following formula:

    Area = Length * Width

    Area of a Rectangle by Diagonal

    The area of a rectangle is the total length x width of the rectangle. The area formula is A = (LxW)

     

    Area of Rectangle Examples

    Rectangles can be defined in many ways, but the most common way is to think of a rectangle as a two-dimensional figure with straight sides and an agreed upon width and height. As with any other shapes in geometry, there are numerous definitions of what constitutes a rectangle. In this article, we will explore some of the more commonly used rectangles and their corresponding definitions.

    Practice Questions on Area of Rectangle

    Area of a Rectangle

    Definition: The area enclosed by the border of a rectangle is the total surface area of the rectangle.

    Rectangular Area Examples
    Here are some examples to help illustrate what we’ve been talking about so far. Lets say you have a rectangular yard that’s 100ft long by 50ft wide. The surface area would be calculated as follows: (100 ft * 100 ft) + (50 ft * 50 ft) = 5002 sq ft
    Now lets say you want to make a rectangular cake that is 12in tall by 9in wide. To calculate the surface area you would take 120in – (12in * 12in) + (9in * 9in) = 117inch² or 582cm²

    FAQs on Area of Rectangle

    1. What is the area of a rectangle?
      The area of a rectangle is the length × width of the rectangle.
      2. How do you find the area of a triangle?
      To find the area of a triangle, use the following formula: Area = base*height.

    Conclusion

    Area of a Rectangle is defined as the sum of the two diagonals. The following are examples to illustrate area of rectangle: If we have a square and want to know the area of its rectangle, we would take the length on one side (L) and multiply it by the width on that side (W), and add it to the length on the other side (L’). This gives us 4L+4W=8, which equals 8 because 8 is two squares. Area of a rectangle can also be found by using our standard Pythagorean theorem. In this case, we will use an equation in which A is the length of one dimension, B is the length of another dimension, and C is the width. So if w represents width in inches and h represents height in inches then ? will represent hypotenuse ((h^2+w^2)/2).


    Area of a Rectangle

    Result

    A = a b

    Definition

    Defining inequalities

    abs(x)<=a/2 and abs(y)<=b/2

    Lamina properties

    (-a/2, -b/2) | (a/2, -b/2) | (a/2, b/2) | (-a/2, b/2)

    4

    a>0 and b>0

    sqrt(a^2 + b^2) | sqrt(a^2 + b^2)

    b

    x^_ = (0, 0)

    Mechanical properties

    J_x invisible comma x = (a b^3)/12

    J_y invisible comma y = (a^3 b)/12

    J_zz = 1/12 a b (a^2 + b^2)

    J_x invisible comma y = 0

    r_x = b/(2 sqrt(3))
r_y = a/(2 sqrt(3))

    K = 1/3 a^3 b (1 - (192 a sum_(n=1)^∞ tanh((π b (2 n - 1))/(2 a))/(2 n - 1)^5)/(π^5 b))

    Distance properties

    a | b | a | b

    p = 2 (a + b)

    R = 1/2 sqrt(a^2 + b^2)

    sqrt(a^2 + b^2)

    χ = 1

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