Geometry, defined as a branch of mathematics, is based on shapes. There are countless geometric shapes, but among them, the rectangle is undoubtedly one of the most common. We do not only encounter the rectangle when opening a geometry book or solving a geometry question, but it also appears frequently in daily life. For this reason, the rectangular area and its perimeter is a subject that draws attention.
Of course, the question of how to find the area and perimeter of a rectangle has an easy answer, like many geometry topics, because, like many geometric shapes, it has formulas that are easily applied. Moreover, according to many formulas, it is not difficult to remember them because it is a kind of rhombus. Let’s take a closer look at the questions such as what is a rectangle, how to find the area and perimeter of the rectangle.
Let’s start with a basic definition; What is a rectangle?
Quadrilaterals whose facing sides are equal, but at the same time perpendicular and parallel, are called rectangles. These opposite sides facing each other meet at the midpoints with two perpendicular axes of symmetry. This junction point is also the intersection point and is called the center of symmetry. The right-angled diagonals of a rectangle are equal to one.
Briefly, the properties of the rectangle:
- A rectangle has four angles.
- The four angles of the rectangle are 90 degrees, that is, they are equal to each other.
- The sum of the interior angles of a rectangle is 360 degrees.
- Opposite sides of a rectangle facing each other are equal.
- The opposite sides of the rectangle facing each other are parallel to each other.
- A rectangle, as the name suggests, is also a quadrilateral.
- It has a symmetrical shape.
- A rectangle has two diagonals.
- The diagonals of a rectangle are equal in length.
- A rectangle has four corners.
What is the rectangle area calculation formula?
- The formula for calculating the rectangular area is A = axb.
- Rectangle area calculation formula A = |KL| x |LM| can also be expressed as
Here’s what you need to know about calculating rectangular area:
- The product of the rectangle’s width and height is equal to the area of the rectangle.
- The product of the lengths of two adjacent sides of the rectangle is equal to the area of the rectangle.
- The product of the long and short sides of the rectangle is equal to the area of the rectangle.
How to calculate the area of a rectangle? Let’s take a look at the examples:
Question 1:
What is the area, in cm², of a rectangle with a width of 10 cm and a height of 5 cm?
- Step #1: Our formula A = axb
- Step #2: A = 10 x 5
- Step #3: A = 50
- Step #4: The unit of area is the square centimeter.
- Step #5: A = 50 cm²
Question 2:
What is the area, in cm², of a rectangle with a width of 20 cm and a height of 10 cm?
- Step #1: Our formula A = axb
- Step #2: A = 20 x 10
- Step #3: A = 200
- Step #4: The unit of area is the square centimeter.
- Step #5: A = 200 cm²
Question 3:
What is the area of a rectangle whose width is 10 m and height is 8 m?
- Step #1: Our formula A = axb
- Step #2: A = 10 x 8
- Step #3: A = 80
- Step #4: The unit of area is square meters.
- Step #5: A = 80 m²
Question 4:
What is the area, in square meters, of a rectangle with a side of 10 m and a side of 5 m?
- Step #1: Our Formula A = |KL| x |LM|
- Step #2: A = 10 x 5
- Step #3: A = 50
- Step #4: The unit of area is square meters.
- Step #5: A = 50 m²
Question 5:
What is the area, in cm², of a rectangle with a side of 30 cm and a side of 10 cm?
- Step #1: Our Formula A = |KL| x |LM|
- Step #2: A = 30 x 10
- Step #3: A = 300
- Step #4: The unit of area is square meters.
- Step #5: A = 300 cm²
Rectangle circumference calculation formula:
- The formula for calculating the perimeter of the rectangle is A = 2 x ( a + b ).
How to calculate the perimeter of a rectangle? Let’s take a look at the examples:
Question 1:
What is the perimeter of a rectangle whose a side is 10 cm and b side is 5 cm?
- Step #1: Our formula is A = 2 x ( a + b )
- Step #2: A = 2 x (10 + 5 )
- Step #3: A = 2 x 15
- Step #4: A=30cm
Question 2:
What is the perimeter of a rectangle whose a side is 20 cm and b side is 10 cm?
- Step #1: Our formula is A = 2 x ( a + b )
- Step #2: A = 2 x ( 20 + 10 )
- Step #3: A = 2 x 30
- Step #4: A=60cm
Question 3:
What is the perimeter of a rectangle with a side 25 m and b side 13 mm?
- Step #1: Our formula is A = 2 x ( a + b )
- Step #2: A = 2 x ( 25 + 13 )
- Step #3: A = 2 x 38
- Step #4: A = 76 m
There is another method you can use to calculate the area and perimeter of a rectangle:
The formulas you can use to calculate the area and perimeter of the rectangle are actually very simple, but if you don’t want to deal with them, open the rectangular area and perimeter calculator of the Hesabet website via the link here. After typing the side lengths of the rectangle and clicking the Calculate button, both the perimeter and the area will appear.
We shared formulas that you can easily apply by answering the question of how to find the area and perimeter of a rectangle, one of the most popular topics in geometry.
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