Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle.

Using this calculator, we will understand the algorithm of how to find the perimeter, area and diagonal length of a rectangle.It is necessary to follow the next steps:. Enter the length and width of a rectangle in the box. These values must be positive real numbers or parameter.

The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, 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. The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the height of the rectangle and it is denoted by the alphabet “p”.

Note that the length of a segment is always positive;. Press the 'GENERATE WORK' button to make the computation;. Rectangle calculator will 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: Three positive real numbers or variables as the perimeter, area and diagonal length of a rectangle and corresponding units after that. 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 right angle, whereas it is not so in a parallelogram. That means that all the properties of a parallelogram can be also applied to rectangles. To recall, the parallelogram has the following properties:. Opposite sides of a parallelogram are congruent;. Opposite angles of a parallelogram are congruent;. The consecutive angles of a parallelogram are supplementary to each other;.

The diagonals of a parallelogram bisect each otherRectangle satisfies one more property:. 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.

Real World Problems Using Area & Perimeter of a RectangleCalculating areas and perimeters of various geometrical figures are very useful in real life problems. Rectangles often appear in real life. For instance, billboards, swimming pools, mobile phones, beds, doors, books. Etc.If we need to make a deck along two sides of a swimming pool of rectangular shape, we must use the method for finding area of rectangle.In three-dimensional geometry, some solids contains rectangular bases. For example, cube, rectangular prism, pyramid, etc.In problems of calculating surface area and volume of these solids we use formula for finding area of rectangle. Rectangle Practice ProblemsPractice Problem 1:A rectangular garden is $2$ times long as its wide. If the perimeter of the garden is $48m$, find its area.Practice Problem 2:Find 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 problems and practice problems would be very usefulfor grade school students (K-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 complex figures, as well as to find surface area and volume of some solids. Real life problems on rectangles involving length, width, area, perimeter and diagonal are very common, so this can be of great the importance of solving.

Formula Of Perimeter ShapesWe come across many shapes in daily life. Consider a triangle, a rectangle, a square or any other shape. Every shape begins with a line or a line segment or a curve. Number and arrangement of these lines decide the type of figure.

Each shape has an interior region or surface bounded by these lines. These bounded lines form the perimeter of a geometric shape and formula for it may vary from one shape to another. What is the Perimeter?Any shape that lies on a flat surface and has only two dimensions i.e. Length and breadth are called 2-D (two-dimensional) shape. Every polygon is a 2-D figure which lies flat on a plane.

Polygons are closed figures which are bounded by a chain of line segments, for example, triangles, rectangles, and squares. Cooking tale play now. Perimeter ( peri: around; meter: measure) of a polygon is the distance or linear measure of these bounded line segments.

In other words, it is the length of its boundaries. Its unit is centimetre (cm) or meter (m).Consider a rectangle, the surrounding distance indicated by the arrows form the perimeter of the given rectangle. It is the sum total covered by two lengths and two breadths.Perimeter of Different Shapes – FormulasWe know every shape is different from one another. Thus, the formula for perimeters of geometric shapes also varies from one shape to another.

Some common shapes and formula for finding their perimeters are as follows. Perimeter of RectangleRectangle is a four-sided polygon having two dimensions i.e.