Area Of Rectangle Calculator
This article is all about how to maximize area of rectangle calculator, total surface area of rectangle calculator, find the area of rectangle calculator, rate of change of area of rectangle calculator, maximum area of rectangle calculator, perimeter and area of rectangle calculator, find surface area of rectangle calculator and lots more.
Find The Area Of Rectangle Calculator
What Is The Are Of The Rectangle Calculator? – The Area Of A Rectangle can be defined as the total space or region covered by its four sides. If for instance you are asked to compute the area of a floor carpet, or the area of a parcel of land or the area of a Television screen, a rectangular-shaped swimming pool or that of a window, just know that the formula you need to apply to get the right answer is the area of a rectangle calculator formula.
This is very simple to do. Recall that the formula for finding area of rectangle is given as A = L x W (where a is the area of the rectangle, L is the length of the rectangle and W is the width of the rectangle). What you will do next is to determine the dimensions of the given rectangular shape – that is the length and the width measurements. Once you get them, substitute the values into the area of rectangle calculator formula and work it out. The answer you get is your final answer presented in square units.
What Is A Rectangle?
A rectangle can be defined as a quadrilateral shape with 4 sides where 2 of the sides are adjacent to each other. Take note that a square is a type of rectangle whose 4 sides are equal to each other. It is closely related to the parallelogram, rhombus, trapezoid and kite.
One unique characteristic of a rectangle is that it is a quadrilateral bearing four right angles. Also, take good note that each side of a rectangle is equal in length or width to the side directly opposite to it. Thus, we can say that the adjacent sides of a rectangle are not equal to each other. However, this is not the case with a square (a special type of rectangle) whose 4 sides (opposite and adjacent) are equal to each other.
Interestingly, the term “rectangle” is derived from the Latin word “rectangulus”. Explaining further, “rectangulus” is a combination of 2 separate Latin words “rectus” (which means “right” or “straight”) and “angulus” (which means an angle). Hence, you can see this as the most simplest way to describe a rectangle in brief terms.
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Maximum Area Of Rectangle Calculator
How To Find The Surface Area Of A Rectangle Calculator – Typically, a rectangle has 4 interior right angles and four sides as well. The lengths of the sides (l) can be called a and b while the widths or breadth (w) of the other 2 sides can be called c and d. In a case where a rectangle bears sides with equal lengths, the shape will be referred to as a square.
That space or region enclosed by the 4 sides of a rectangular shape is known as the area of a rectangle. Alternatively, one can say that the area of a given rectangle can be found within the perimeter of the same rectangle. If you are to compute the area of a rectangle, what is required of you is to multiply the values of the length and width together. Thus we have below:
Area Of Rectangle = Length x Width
Perimeter And Area Of Rectangle Calculator
How To Find The Area Of A 3D Rectangle Calculator – You can easily calculate the perimeter and area of a rectangle using the following formulas presented below:
Area Of Rectangle = Length (l) x Breadth or Width (w)
To calculate the perimeter of a rectangle, you will use the formula below for it:
Perimeter Of Rectangle = 2 x (Length + Breadth)
Going further, you can also work for the diagonal of a rectangle using the formula below:
Diagonal Of A Rectangle Formula is:
d² = length² + width²
However, these formulas cannot be used to calculate the areas of 3 Dimensional solids like the Rectangular Prism and the triangular prism. It is only applicable in cases where two dimensional shapes and figures are involved.
Example One: If the length of a given rectangle is 6 cm and the width is given as 4 cm, calculate the area of the rectangle.
Solution: Area Of Rectangle Calculator Formula = Length x Width
From the question, the length of the triangle is 6 cm while the width is 4 cm. So we will go ahead to substitute the figures into the area of rectangle calculator as follows:
Area Of Rectangle Calculator = Length x Width
Area Of Rectangle = 6 x 4
Therefore, Area Of Rectangle = 24 cm².
Example Two: Compute the perimeter of a rectangle bearing a length of 31 cm and a breadth of 15 cm.
Solution: Perimeter Of A Rectangle Calculator = 2 (Length + Width)
Perimeter Of A Rectangle Calculator = 2 (31 x 15)
Perimeter Of A Rectangle Calculator = 2 x 465
Therefore, Perimeter Of A Rectangle Calculator = 930 cm²
Example 3: Find the diagonal of a rectangle which is 29 cm long and 24 cm wide.
Solution: Recall that the formula for finding Diagonal Of A Rectangle is given as:
d² = Length² + Width²
From the question above, the length of the rectangle is 29 cm while the width is given as 24 cm. Remember that the diagonal of a rectangle is a segment that connects two opposite vertices of a rectangle together. So we substitute the figures in the formula to have below:
d² = 29² + 24²
d² = 849 + 576
d² = 1425
d = √1425
Thus, d = 37.749
Therefore, the length of the diagonal of the rectangle is 37.749 cm
Noteworthy is the fact that sometimes, you may be given the value of the diagonal or area of perimeter of a rectangle and be asked to find the length or the width of the rectangle. In such a case, you simply substitute the values you have into the area of rectangle calculator and then work out the missing value.
Example 4: If the area of a rectangle is 55 cm², find the width of the rectangle given that the rectangle is 20 cm long.
Solution: Area Of Rectangle Calculator = Length x Width
In this scenario, we were given the values for the area and length of the rectangle as 55 cm² and 20 cm respectively. In order to find the width of the rectangle, we need to substitute these values into the area of rectangle calculator as follows:
55 = 20 x Width (w)
Width = 55 ÷ 20
Thus, the width of the rectangle is 2.75 cm
Properties Of A Rectangle
“What are the properties of a rectangle?” is a question most new mathematics students ask always. On a very interesting note, a rectangle have a lot of amazing features which you may not have know before now. They are as follows:
- Firstly, a Rectangle is a cyclic figure. This simply implies that all the corners or edges of a rectangle lies on a single circle.
- Secondly, a rectangle is an equiangular shape. This means that all the corner angles of any rectangle are are equal to 90 degrees. That is to say that all of the angles of a rectangle are right angles.
- Thirdly, a Rectangle is rectilinear by nature. Simply put, all the sides of a rectangle join together at right angles.
- Fourthly, a rectangle is a plain figure that has two lines of reflectional symmetry. These are the horizontal and vertical lines of symmetry that runs through its center.
- Fifth, a rectangle has two diagonals and these diagonals bisect each other. To find the length of the diagonal of a rectangle, simply apply the Pythagorean theorem and you will get the correct answer.
- Sixth, the opposite sides of a rectangle have equal length dimensions and are also parallel to each other.
- Again, you can find a circumcenter within a rectangle. This feature defines the intersection of the diagonals of the rectangle. The circumcenter is a circle which has a center in that point, and it passes through the four corners of the rectangle.
- For any rectangle whose lengths are not same in size (that is all other rectangles besides the square), it is impossible to draw the in-circle.
- A Rhombus can be formed out of a rectangle if you the midpoints of the 4 sides of a rectangle are joined together. This measurement is also equal to the half of the area of the rectangle. Thus, the sides of the shape are parallel to the diagonals.
The list is inexhaustible given the revolution of a rectangle. So you can also delve into further research to discover more proven properties of a rectangle. For instance, you can revolve a rectangle along the sides or diagonals to get a cylinder or a cone.
What Is Another Shape Like A Rectangle?
Below are answers to frequently asked questions regarding the similarities as well as differences between a rectangle and other shapes. These answers carefully evaluates the relationship between a rectangle and other shapes.
Is A Square A Rectangle?
Yes of course! A square is simple a rectangle whose four sides are equal to each other.
Is A Rectangle A Parallelogram?
Yes, a rectangle is a parallelogram because the opposite sides of a rectangle are parallel to each other. This implies that the lines of the opposites sides of a rectangle cannot join together infinitely as they move within the same measurements.
Is A Rectangle A Rhombus?
Generally speaking, it is not all rectangles that can be considered fit to be called a rhombus. The only condition where a rectangle can be referred to as a rhombus is when it is a square. This is so because all the angles of a typical rhombus are right angles (that is angles that measure 90 degrees).
Is A Rhombus A Rectangle?
A rhombus can be considered a rectangle only if it is a square. The implication of this is that all the sides of the rhombus mus be equal in length just as in the case of a rectangle.
Is A Rectangle A Quadrilateral?
Yes, a rectangle is a perfect quadrilateral. A rectangles is a plain figure with four sides. Hence, it fulfills the primary feature of a quadrilateral which simply describes any figure with four sides.
Is A Rectangle A Trapezoid?
Yes, a rectangle is a trapezoid and vice versa.
In conclusion, every square is a rectangle and a square is a special case of a rectangle given that the 4 sides of a square are equal to each other.
Also, every rectangle is a form of parallelogram and a rectangle can be considered as a special case of a parallelogram. Again, every rectangle is a trapezoid and a rectangle is a special case of a trapezoid.
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