rectangle area calculator

Rectangle Area Calculator

Welcome to the rectangle area calculator. When we look around us, we find that the majority of items in our daily life are rectangular in shape. Even the laptop or mobile that you are using to read this post is rectangular. It means, we interact with a lot of rectangles in our daily routine without noticing it.

By using area of rectangular calculator, the following terms can be calculated:

• Area of rectangle
• Length
• Width
• Diagonal
• Perimeter

You may need to calculate the area of your room for furnishing or the area of carpet to lay it in one of your guest rooms. The rectangle calculator lets you calculate the area of any rectangle that can pop up into your mind.

Even if you need to find the perimeter of your lawn to install a fence around it, this tool will help you measure the surroundings of your lawn. What? Your lawn is not rectangular? Don’t worry. In case, you have a circular lawn or playground, you can still measure it by using our circumference calculator.

In this article, we are going to discuss how to use rectangular area calculator, rectangular definition, formula for rectangle area, and how to can you find area of rectangle.

How rectangle area calculator works?

Area of a rectangle calculator efficiently computes the rectangle area as well as perimeter, sides, and diagonal. It is accurate and robust tool which makes the whole process of calculation effortless. To use this calculator, follow the below steps:

• Choose the option to solve for. i.e., area, perimeter, etc.
• Select the given set of parameters form the list.
• Enter the required values in the given input boxes.
• Hit the Calculate button to get the instant result.

It will show you the calculated area, the formula it used for calculation, and all steps that are involved in the calculation.

Rectangle is a type of quadrilateral. If you want to calculate the area of any other quadrilateral, you can use our trapezoid area calculator, rhombus area calculator, or kite area calculator anytime.

What is a rectangle?

A rectangle is a quadrilateral having 4 straight sides and 4 angles of 90°. All opposite sides are equal and parallel to each other.

Wikipedia states that,

“In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°). It can also be defined as a parallelogram containing a right angle.”

Properties of a Rectangle

Properties of a rectangle are given below:

• All angles are right angles.
• Opposite sides are congruent and parallel.
• A rectangle is a special type of parallelogram whose angles are right.
• The diagonals are bisect each other and congruent.
• Opposite angles formed at the point where diagonals meet are congruent.

Rectangle area formula

Formula for area of a rectangle is much simpler than you think. It can be stated as:

Area of a rectangle = a × b

Where:

a is the length of the rectangle,

b is the width of the rectangle.

Perimeter of a rectangle formula

The formula for perimeter of rectangle can be stated as:

P = 2 × (a + b)

Where:

a is the length of the rectangle, and b is the width of the rectangle.

Diagonal of a rectangle formula

The formula for diagonal of rectangle can be stated as:

d² = a² + b²

Where:

a is the length of the rectangle, and b is the width of the rectangle.

How to calculate area of a rectangle?

Now that you know how to find the area of a rectangle, let’s take a deep dive into the manual rectangle area calculation. To find the area of a rectangle, you should have the length and width of the rectangle. If you do not, measure your rectangle using a measuring tape.

Follow the below steps to calculate rectangle area

• Write down the length and width of the rectangle.
• Write down the formula of area of rectangle.
• Substitute the values in the formula and calculate the area.

Example:

Find the area of a rectangle having length of 20 cm and width of 8 cm?

Solution:

Step 1: Write down the length and width of the rectangle.

a = 20 cm, b = 8 cm

Step 2: Write down the formula of area of rectangle.

Area of a rectangle = a × b

Step 3: Substitute the values in the formula and calculate the area.

Area = 20 cm × 8 cm

Area = 160 cm²

So, the area of a rectangle with length of 20 cm and width of 8 cm is 160 cm².

Area of rectangle – Real world example

If the area of a rectangular room is 150 square feet, and its width is 10 square feet, what will be the length of that room?

Solution:

Step 1: Write down the area and width of the room.

Area = 150 sq. feet, b = 10 sq. feet

Step 2: Write down the formula of area of rectangle.

Area of a rectangle = a × b

Step 3: Substitute the values in the formula and calculate the length of the room.

150 = a × 10

Length (a) = 150/10 = 15 feet

So, the length of a rectangular room having area of 150 sq. feet and width of 10 sq. feet is 15 feet.

FAQs

What is the formula of rectangular area?

The formula of rectangular area is:

Rectangular area = length × width

How do you calculate total area of rectangle?

The total area of rectangle can be calculated by multiplying its length and width. The multiplication of length and width of a rectangle gives the total area of a rectangle.

Total area of rectangle = length × width

How do you find the sides of a rectangle given the area?

A side of the rectangle can be calculated if area and one side is given. It can be calculated by using the same formula that we use to calculate its area. Area = length × width.

Suppose we have rectangle with 8 cm length and its area is 24 cm². We can calculate its width by substituting the values in the above equation.

24 cm² = 8 cm × width

Width = 24/8 = 3 cm

How do you find the length and area of a rectangle?

The area of a rectangle can be calculated by this equation:

Area = length × width

While length of a rectangle can be calculated by rearranging the above equation:

Length = Area / Width

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