How To Find The Length Of A Rectangle Calculator

Surface area & Perimeter of a Rectangle reckoner uses length and width of a rectangle, and calculates the perimeter, surface area and diagonal length of the rectangle. Information technology is an online Geometry tool requires two length sides of a rectangle. Using this figurer, we volition understand the algorithm of how to discover the perimeter, expanse and diagonal length of a rectangle.
It is necessary to follow the adjacent steps:

Enter the length and width of a rectangle in the box. These values must be positive real numbers or parameter. Note that the length of a segment is always positive;
Press the "GENERATE Work" button to make the computation;
Rectangle calculator volition give the perimeter, area and diagonal length of a rectangle.

Input : Two positive real numbers or parameters as the length and width of a rectangle;
Output : 3 positive existent numbers or variables as the perimeter, area and diagonal length of a rectangle and respective units after that.

Rectangle shape

Rectangle Formula :

Perimeter of Rectangle Formula: The perimeter of a rectangle is determined by the following formula

$$P=2\times a+2\times b=2\times(a+b)$$

where $a$ and $b$ are the length and width of the rectangle, respectively.

Expanse of Rectangle Formula: The expanse of a rectangle is determined by the following formula

$$A=a\times b$$

where $a$ and $b$ are the length and width of the rectangle, respectively.

Length of Diagonal of Rectangle Formula: The diagonal of a rectangle is determined by the following formula

$$d=\sqrt{a^2+b^2}$$

where $a$ and $b$ are the length and width of the rectangle, respectively.

What is Area & Perimeter of Rectangle?

A quadrilateral with four congruent angles is a rectangle. The discussion "rectangle" comes from Latin "rectangulus". It's a combination of "rectus" which means "right" and "angulus" which means "an angle".
If $\bending A\cong\angle B\cong\angle C\cong\angle D$, so ${\overline{ABCD}}$ is a rectangle (see the picture below). It holds that

$$m\angle A=m\angle B=one thousand\bending C=m\bending D=\frac{{360}^o}{4}={xc}^o$$

The lengths of its sides are denoted by $a$ and $b$, while the length of the diagonal is denoted with $d$. A rectangle is also called an equiangular quadrilateral, since all of its angles are congruent.
A rectangle is a parallelogram, but parallelogram is not a rectangle because in a rectangle each angle is a correct angle, whereas it is non then in a parallelogram. That means that all the properties of a parallelogram can be also practical to rectangles. To recall, the parallelogram has the post-obit properties:

Opposite sides of a parallelogram are coinciding;
Opposite angles of a parallelogram are coinciding;
The consecutive angles of a parallelogram are supplementary to each other;
The diagonals of a parallelogram bifurcate each other

Rectangle satisfies one more holding:

The diagonals of a rectangle are congruent;

If we know side lengths of the rectangle, it is easy to calculate the length of the diagonal using the Pythagorean Theorem. A diagonal divides a rectangle into two right triangles. By applying the Pythagorean Theorem to $\Delta ABC$, we get

$$d^2={\overline{AB}}^2+{\overline{BC}}^2=a^2+b^2$$

i.e.

$$d=\sqrt{a^2+b^2}$$

The rectangle has simply two lines of symmetry. These lines are these ones which connect the midpoints of the opposite sides of the rectangle. A rectangle has primal symmetry and rotational symmetry. The center of symmetry is the indicate of intersection of its diagonals, $O$.

Rectangle diagonals intersection

The altitude around a rectangle is called the perimeter of the rectangle. Information technology is usually denoted past $P$. To detect the perimeter of rectangle nosotros add together the lengths of its sides. Thus, the perimeter of a rectangle with the length of $a$ and the width of $b$ is

$$P =a+b+a+b= 2 \times a+2\times b=two\times(a+b)$$

Perimeter of Rectangle Area of Rectangle

The surface area of a rectangle or some other polygon is a number of square units needed to fill the rectangle. The area, normally denoted by $A$, of a rectangle with the length of $a$ and the width of $b$ is

$$A =\mbox{length}\times\mbox{width}=a\times b$$

In other words, the expanse of a rectangle is the product of its length and width.
The perimeter is measured in units such as centimeters, meters, kilometers, inches, anxiety, yards, and miles. The area is measured in units units such as foursquare centimeters $(cm^ii)$, square meters $(m^2)$, square kilometers $(km^two)$ etc.

The area and perimeter of a rectangle work with steps shows the consummate step-by-footstep calculation for finding the perimeter, surface area and diagonal length of the rectangle with the length of $5\;in$ and the width of $10 \;in$ using the perimeter, area and diagonal length formulas. For any other values for length and width of rectangle, merely supply ii positive real numbers and click on the GENERATE Piece of work push button. The grade school students may use this area and perimeter of a rectangle to generate the work, verify the results of perimeter and surface area of two dimensional figures or do their homework problems efficiently.

Real Globe Bug Using Area & Perimeter of a Rectangle

Computing areas and perimeters of diverse geometrical figures are very useful in real life issues. Rectangles often appear in real life. For instance, billboards, swimming pools, mobile phones, beds, doors, books. etc. If we need to make a deck forth 2 sides of a swimming pool of rectangular shape, we must employ the method for finding surface area of rectangle.
In three-dimensional geometry, some solids contains rectangular bases. For example, cube, rectangular prism, pyramid, etc. In bug of calculating surface area and volume of these solids we utilize formula for finding area of rectangle.

Rectangle Practice Problems

Practice Problem 1:
A rectangular garden is $2$ times long as its broad. If the perimeter of the garden is $48m$, notice its area.

Practice Problem 2:
Discover the length of the diagonal of a floor whose dimensions are $36\;in$ by $75\;in$.

The Area Perimeter of a Rectangle calculator, formula, example calculation (work with steps), real world issues and practice issues would be very useful for grade schoolhouse students (G-12 education) to understand the concept of perimeter and area of rectangle. This concept can be of significance in geometry, to find the perimeter and area of circuitous figures, likewise as to find surface area and book of some solids. Real life issues on rectangles involving length, width, area, perimeter and diagonal are very common, so this can be of peachy the importance of solving.