Whether you need to know the area of a carpet, a parcel, a TV screen, a rectangle pool, or a window, this area of a rectangle calculator will solve your problem in a blink of an eye! All you have to do is input the length and width (or diagonal) and allow this rectangle calc to find the values of P (perimeter) and A (area). Keep reading if you want to understand what a rectangle is, you're interested in the rectangle definition, formulas, and properties of a rectangle... Or you just want to learn how to find the area of a rectangle.
A rectangle is a quadrilateral with four right angles. We may also define it in another way: a parallelogram containing a right angle – if one angle is right, the others must be the same. Moreover, each side of a rectangle has the same length as the one opposite to it. It also has unequal adjacent sides, in contrast to a square, a special case of a rectangle. If you know some Latin, the name of a shape usually explains a lot. The word rectangle comes from Latin rectangulus. It's a combination of rectus (which means "right, straight") and angulus (an angle), so it may serve as a simple, basic definition of a rectangle. A rectangle is an example of a quadrilateral. You can use our quadrilateral calculator to find the area of other types of quadrilateral.
The image above shows a typical rectangle. It has four sides and four right angles. The lengths of its sides are denoted with a and b, while the length of the diagonal is denoted with d. If all sides of the rectangle have equal lengths, we call it a square. The area of a rectangle is a space restricted by its sides or, in other words, within the perimeter of a rectangle. To find the area of a rectangle, all you need to do is a multiplication of rectangular sides a and b: Area = a × b
Our rectangle calculator has the following formulas implemented:
As we know the formula for the area of a rectangle A = a × b, let's show with an example how you can calculate that property:
Let's find out how to find a perimeter of a rectangle. As usual, the perimeter is a sum of all sides of a shape: P = a + b + a + b ...which can be written as: P = 2 × (a + b) Let's take the same rectangle as an example:
The diagonal of a rectangle is a segment that connects two opposite vertices of a rectangle. Let's calculate the diagonal length of the exemplary rectangle:
Naturally, instead of calculating all of these values manually, you can use this area of a rectangle calculator. You can also use it in reverse – for example, to calculate the width of a rectangle with a known length and perimeter.
The figure above shows a special type of rectangle called the golden rectangle (learn with our golden rectangle calculator). Such a rectangle fulfills the following condition: (a + b) / a = a / b = ϕ where φ is the golden ratio equal to 1.618. Find out more about this special ratio with our golden ratio calculator. As you probably remember from the ratio calculator, a ratio is a relationship between two quantities, often represented as a fraction. Did you know that you can construct the golden triangle using only a straightedge and compass? It's just a few steps!
Taadaaah! It wasn't so hard, was it?
Rectangles have many interesting properties:
Other lesser-known rectangular properties:
You can think of your own properties as well, e.g., concerning the revolution of a rectangle – along the side or diagonal to get a cylinder or a cone, respectively.
TL;DR:
Wondering if a square is a rectangle or if a rectangle is a parallelogram? Have a look at the picture below, and you shouldn't have any doubts about the relations between quadrilaterals anymore: Souce:How to read this diagram? Let's start with our rectangle. Three figures are connected directly to the shape: a square, a parallelogram, and an isosceles trapezoid. So if the shape is above our shape of interest – like square and rectangle – we can say that:
For the other two figures, we can state analogically:
Many different rankings exist, evaluating the countries – whether by their areas, populations, level of education, or Nobel prize winners. But have you ever wondered who's the winner of the most rectangular country competition? An Australian geo-statistician David Barry calculated the parameter of rectangularity for all countries in the world and created a ranking. He found out that the most rectangular country is Egypt, whereas the "least rectangular country in the world" title goes to the Maldives (however, the author admits that calculations for countries that consist of many small islands could be terribly wrong). Have a look at the table below and check out the first ten countries, as well as the least rectangular ones. Egypt is the leader, but that shouldn't surprise anybody checking the shape of that country on the map. The USA is in the middle of the ranking, mainly because of the eccentricity of Alaska and Hawaii. The confusing thing is that the 2nd most rectangular country – Vatican – is at the same time the 4th-roundest country, and Poland, 5th in roundness classification, is 9th in the rectangularity ranking. How is it even possible to be rectangular and round at the same time?! As you can guess, it's all about the definition of rectangularity and roundness, which may not be adequate for complex or scattered shapes – and the borders of countries are usually such examples, containing sharp edges, small islands, or colonies somewhere on the other part of the globe. If you're interested in the topic, you can have a look at this . Also, in a circle calculator, you'll find a dedicated paragraph about the with a similar table and examples.You could think that the world would be easier to draw if every country were a rectangle... Or not?
The shape of a rectangle is used in many periodic tessellation patterns. It may be used for walls of bricks, floor tiles, pavement, or different mosaics. Below you'll find a few popular patterns:
Of course, tiles come in all shapes and sizes – hexagonal and octagonal with squares are quite popular choices. For the pentagon, the shape must be irregular to form a tiling pattern.
Body shape type is one of the most searched-for problems connected to rectangles. All you need to do is to measure your bust, waist, hips, and high hip and type the values into the tool. Then you'll get the information about what your body shape is. For example, the rectangle body shape is defined as a "boyish" body type – your hips, waist, and bust are about the same size. Your body is well proportioned and athletic in appearance. Surprisingly, we are surrounded by rectangular objects. That's why our rectangle calculator may be useful not only for math classes but also in your everyday life problems. Of course, you won't find an ideal rectangle in reality, as it always has a third dimension; but if it's small compared to the other two measurements, the approximation is good enough.
Have a look. Can you find more rectangular objects around you? Sure you can!
To find the perimeter, you need to sum up all sides of a rectangle: P = a + b + a + b To find the area of a rectangle, you need to multiply the shorter and longer side: A = a × b
It's 144 square inches! To find this rectangle's area, you need to:
A shape is a rectangle, if:
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