The lengths of the sides will be given as a or b or you can use l and w for “length” and “width”. If the lengths of the sides are all the same, then the rectangle is also a square. But you can stick around here and learn more about finding the area of a rectangle.Ī rectangle has four 90 degree angles. If interested in calculators for a variety of other shapes, you can look at more of our handy calculators. If you need to find the area and perimeter of a rectangle, this calculator is the handy tool you will need.īy simply inputting the length and width, this calculator will almost instantly find the perimeter (P) and the area (A).
#Finding length of diagonal of a rectangle how to
Go back to Calculators page How to Calculate the Area of a Rectangle Jump to Real-life Applications of these Calculations
Jump to Calculating the Diagonal of a Rectangle Jump to Calculating the Perimeter of a Rectangle
You will have to divide any answer by two.Jump to Calculating the Area of a Rectangle Our door, for example, only has two diagonals you do not count going from the top hinge to bottom opposite and back again. We also do not want to count the same diagonal twice. So for n sides, we will immediately reduce the possible number of diagonals by three. That vertex cannot connect to itself, either. Remember that any vertex (corner) is connected by sides to two other vertices, so those connections cannot count as diagonals. Diagonal Formula For Square, Rectangle, and Cubeįortunately, an easy formula exists to tell you exactly how many diagonals a polygon has. When the polygon gets a bit complicated, counting them can be very hard. To find all possible diagonals of a simple polygon with just a few sides, you can easily count them. A 21" screen never tells you the width and height it is 21" from one corner to an opposite corner. The phone or computer screen you are viewing this lesson on is measured along its diagonal. For a catcher in softball or baseball to throw out a runner at second base, the catcher throws along a diagonal from home plate to second. When houses are being built, look for diagonal braces that hold the walls straight and true.īookshelves and scaffolding are braced with diagonals.
You may see diagonal wires used to keep bridges steady. Diagonals in real lifeĭiagonals in squares and rectangles add strength to construction, whether for a house wall, bridge, or tall building. Diagonals In Concave Polygonsĭo not attempt to apply these concepts and our diagonal formula to complex polygons (polygons with self-intersecting lines). Darts and stars are typical examples of concave polygons with diagonals outside their shapes. In concave, simple polygons, the diagonals may go outside the polygon, crossing sides and partly lying in the shape's exterior. Those are the only two diagonals possible. You can also run a line from the bottom hinge corner up to the top, opposite corner. You can run a line from the top hinge corner to the bottom, opposite corner. In convex, simple polygons, diagonals will always be within the interior. A pentagon, whether regular or irregular, has five diagonals. A quadrilateral, the next-simplest, has two diagonals.
You cannot draw a line from one interior angle to any other interior angle that is not also a side of the triangle. So a triangle, the simplest polygon, has no diagonals. What's a diagonal?Ī diagonal of a polygon is a line from a vertex to a non-adjacent vertex. The formula we will use works for all simple polygons. Simple polygons can be concave or convex. A dart, kite, quadrilateral, and star are all polygons. A simple polygon is any two-dimensional (flat) shape made only with straight sides that close in a space, and with sides that do not cross each other (if they do, it is a complex polygon).
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