Area of Rectangle Formula

When we talk about some plane figures, we think of their shape, region or boundary. We compare the objects on the basis of their size and area. We all know that we need some measure to compare them. And one such measure is its area. All the objects that lie in a plane acquire some region of a flat surface. The measure of the surface enclosed by a closed figure is known as its area. There are different geometrical closed shapes that exist namely square, rectangle, triangle, circle, etc. In this article, we will mainly be focusing on the understanding of the area of rectangle formula with some practical examples, its calculation, and units. Let us get begin!

Area of Rectangle Formula

What is a Rectangle?

Let us first understand the shape and structure of a rectangle. A rectangle is a quadrilateral with four sides. It has straight lines on all 4 sides. The opposite sides of a rectangle are parallel and of equal length. Since a rectangle has four sides, it has four angles. All angles of a rectangle are equal.

It is an equiangular rectangle with four right angles which is 90 degrees. Another property of a rectangle is that has two diagonals of equal length. Diagonal is a line that is drawn inside the rectangle connecting the opposite corners or vertices. Because of this property, we say that the two diagonals of a rectangle are congruent.

An object in two-dimensional geometry must have measured for length and breadth. Here, in the case of a rectangle, its length and breadth are not equal. The area of a rectangle is the product of its two sides, multiplying the length and its breadth. The unit of area of the rectangle is square units. Let us now take a deep look into the formula.

Formula

A= l x b

Where,

A	Area of rectangle
l	Length of the rectangle
b	Breadth of rectangle

Solved Examples

Now that we have some clarity about the concept and meaning of area of rectangle, let us try some examples to deepen our understanding of the subject.

Q: The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively find its area. Also, find the cost of painting the sheet, if a painting of an area of one square meter costs 50 paise.

Ans: The Area of a rectangle (A) = l x b, where l is the length and b are the breadths of the rectangle.

Given, l = 500 m and b = 300 m.

Thus, Area of the rectangle A = 500 m x 300 m = 1, 50,000 square meters.

Now, let us calculate the cost of painting the land.

Cost of painting of an area of 1 square meter = Re 0.50

So, cost of painting the total area of the rectangular land = 0.50 x 150000 = Rs 75000.

Q: The area of a rectangular sheet is 500 cm². If 25 cm is the length of the sheet, find its width.

Ans: It is given that the Area of the rectangular sheet = 500 cm² and the Length (l) =25 cm

We know that the Area of the rectangle = l × b (where b = width of the sheet)

Therefore, width b = \(\frac{Area}{l}\)

Width b = \(\frac{500}{25}\) = 20 cm