3 things you must know about the area of a rectangle

by in Education

A rectangle is a two-dimensional figure having four sides. A rectangle also has four vertices. Pairs of opposite sides of a rectangle have the same length and parallel each other. Every side of a rectangle forms a right angle with its adjacent side. A Rectangle is a parallelogram of a particular type. The two diagonals of a rectangle are always equal to each other in ways of their length. A rectangle has two diagonals that bisect each other.

The concept of rectangles is fundamental, and there are various kinds of problems that can be solved only if one has the concept of rectangles. So it is of utmost necessity that students understand this concept very clearly.

Like all other figures, we can find out the perimeter and area of rectangle.

We can calculate the perimeter of the rectangle using the formula- 2*(a+b)

Where a being the length, and b is the breadth of the rectangle.

Things to know about the area of a rectangle

Definition

The area of a rectangle is defined as the space enclosed within the perimeters of the rectangle.

How can we calculate the area of a rectangle?

We can calculate the area of a rectangle using any of the three ways.

  1. Dividing the rectangle into small unit squares, which are equal in measurement

For this, the rectangle has to be divided into small equal squares having sides of unit length.

Once the number of unit squares is calculated, the rectangle area can easily be found out.

However, this process is a tedious one and is generally not used to find it.

  1. Using the length and breadth of the rectangle
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To calculate the area of the rectangle in this way, the length and the breadth of the rectangle must be known.

If we already know the length and the breadth of a rectangle beforehand, then we must multiply them into each other to get the area of the rectangle. This is an easy way and takes much less time than the previous process.

The formula to calculate the area of the rectangle in this way is a*b

‘a’ being the length of the rectangle and b the breadth of the rectangle.

Following these steps, we can easily calculate the area of the rectangle —

Step 1 — the length and the breadth of the rectangle need to be noted down carefully.

Step 2 — the product of the length and the breadth is to be calculated.

Step 3 — the answer should be written in square units.

  1. Using the diagonal and one of the sides, either length or breadth

When we only know the measure of the diagonal and any one side- length or breadth, we can use the Pythagoras Theorem to find out the measure of the other side.

(Diagonal)^2 = (Length) ^2 + (Breadth) ^2

We can calculate the length of the remaining side easily by using this formula.

Then, it becomes easy for us to calculate the area using the formula — length*breadth.

Things to be careful about while calculating it

  1. The measure of the length, breadth, and/or diagonal should be noted correctly.
  2. All calculations should be done carefully and correctly
  3. It is important to use square units with the value of it
  4. The counting process should also be done carefully if you are using the first way to calculate the rectangle area.

The area of a rectangle is helpful in real life when we have to find the area of a rectangular room or while buying a rectangular carpet for our drawing-room. Hence, all the students must learn how to calculate the area of a rectangle correctly during their school life. Cuemath is always at your rescue when your child is unable to understand such mathematical concepts. Keep following their site to learn more about such topics.

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3 things you must know about the area of a rectangle