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Rectangle Area Calculator

Introduction

Welcome to our Rectangle Area Calculator! which will help you calculate the rectangle’s area quickly and accurately. A Rectangle is a two-dimensional closed figure with four sides, where opposite sides are equal and parallel. Hence, the internal angles of the rectangle all measure 90 degrees.

The area of the rectangle is the space that the shape occupies, and it also depends on the length of the sides of the rectangle.

We measure the rectangle’s area in square units and generally use units including sq cm,sq m, sq feet, sq inch, etc.

How to use the Rectangle Area Calculator?

Using the Rectangle Area Calculator, you can calculate the area of the rectangle by using two methods

Area of Rectangle using Length of Sides

You can calculate the area of the rectangle if we have the length and breadth of the rectangle.

The variables in the Rectangle Area Calculator include:

Length (l)
The length of the rectangle.

Breadth (b)
The breadth of the rectangle.

Area of Rectangle (Area)
We can calculate the area of the rectangle by using the following formula

Area=l×b \text{Area} = l \times b

Area of Rectangle using Length of Diagonal and Breadth

You can also calculate the area of the rectangle by using the length of the diagonal and the breadth of the rectangle.

The variables in the Rectangle Area Calculator include:

Diagonal (d) The length of the diagonal of the rectangle.

Breadth of the rectangle (b) The breadth of the rectangle.

Area of Rectangle (Area) We can calculate the area of the rectangle by using the following formula

Area=b(d2−b2)\text{Area} = b(\sqrt{d^2 - b^2})

Where

b = Breadth of the Rectangle

d = Length of the Diagonal of the Rectangle

What is a Rectangle?

A rectangle is a closed four-sided Polygon, where the opposite sides are equal and parallel to each other. So, the rectangle has four angles, which measure 90 degrees each.

To summarize, let’s look at some of the properties of a rectangle

  1. Opposite sides of a rectangle are equal and parallel to each other.

  2. Each interior angle of a rectangle measures 90 degrees.

  3. The sum of all interior angles of a rectangle is 360 degrees.

  4. The length of the diagonals of a rectangle are equal and they bisect each other.

How is the Area of the Rectangle Calculated?

The area of the rectangle is the total space taken up by it in a two-dimensional plane. We can also look at it as the number of square units that fill the region inside the rectangle. Hence, the measurement will be in square units.

We can calculate the area of the rectangle in two ways:

  1. Area of Rectangle using Length of Side

  2. Area of Rectangle using Length of Diagonal and Breadth

Area of Rectangle using Length of Sides

You can calculate the area of the rectangle if we have the length and breadth of the rectangle by using the following formula

Area=l×b\text{Area} = l \times b

Where,

l = length of the rectangle

b = breadth of the rectangle

Area of Rectangle using Length of Diagonal and Breadth

You can also calculate the area of the rectangle by using the length of the diagonal and the breadth of the rectangle by using the following formula.

Area=b(d2−b2)\text{Area} = b(\sqrt{d^2 - b^2})

Where

b = Breadth of the Rectangle

d = Length of the Diagonal of the Rectangle

Examples

Example 1

Let’s say there is a rectangle with a length of 5 cm and a breadth of 4 cm, what is the area of the rectangle?

The area of the rectangle can be calculated by using the following formula

Area=l×b=5  cm×4  cm=20  cm2\begin{aligned} \text{Area} &= l \times b \\[10pt] &= 5\;cm \times 4 \;cm \\[10pt] &= 20 \; cm^2\end{aligned}

As shown above, we can calculate the area of the rectangle by multiplying the length and breadth of the rectangle.

Example 2

Let’s say there is a rectangle with a diagonal of 5 centimeters and a breadth of 3 centimeters. What is the area of the rectangle?

The area of the rectangle can be calculated by using the formula the following formula

Area=b(d2−b2)=3  cm(52  cm−32  cm)=3  cm×4  cm=12  cm2\begin{aligned} \text{Area} &= b(\sqrt{d^2 - b^2})\\[10pt] &= 3\;cm(\sqrt{5^2 \; cm - 3^2\;cm}) \\[10pt] &= 3\;cm\times 4 \; cm \\[10pt] &= 12 \; cm^2 \end{aligned}

As shown above, in the example, you can calculate the area of the rectangle by using the breadth and the diagonal of the rectangle.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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