Online Length And Width Of A Rectangle Calculator - Cuemath

Length and Width of a Rectangle Calculator

Length and Width of a Rectangle Calculator is a free online tool which helps to find side length of rectangle.

What is Length and Width of a Rectangle Calculator?

A rectangle is a closed two-dimensional figure with four sides and four corners. The length of the opposite sides is equal and parallel to each other. Length and Width of a Rectangle Calculator is a free online tool that calculates the length and the width of a rectangle within a few seconds.

Length and Width of a Rectangle Calculator

NOTE: Enter numbers upto 3 digits.

How to Use the Length and Width of a Rectangle Calculator?

Follow the steps mentioned below to find the length and width of a rectangle.

• Step 1: Enter the value of the area and perimeter of the rectangle in the respective input boxes.
• Step 2: Click on "Calculate" to find the respective length and the width of the rectangle.
• Step 3: Click on "Reset" to clear the fields and enter the new values.

How to Calculate Length and Width of a Rectangle?

The formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product of length and width, that is, "A = l × w".

The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is P = 2(l + w).

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'. Then substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is,

P = 2 (l + A/I).

Then substitute the value of the length 'l' of the rectangle in the equation w = A/l and simplify to find the width 'w'.

Let's learn through an example how to find the length and width of a rectangle.

Want to find complex math solutions within seconds? Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps.

Book a Free Trial Class

Solved Example on Length and Width of a Rectangle Calculator

Example 1:

If the area and the perimeter of a rectangle are 8 square units and 12 units respectively. What is the length and width of the rectangle?

Solution:

Substitute the values of Area in the formula 'A = l × w' and simplify to find width 'w' in the form of length 'l'.

A = l × w 8 = l × w w = 8/l

Substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is, P = 2 (l + A/I).

P = 2 (l + w) 12 = 2 (l + 8/l) 6l = l2 + 8 l2 - 6l + 8 = 0 l = 4 units (or) 2 units.

Substitute the value of the length 'l' of the rectangle in the equation w = A/l and simplify to find the width 'w'.

w = A/l

If l = 4 units, then w = 8/4 = 2 units.

If l = 2 units, then w = 8/2 = 4 units.

Therefore, l = 4 units (or) 2 units

w = 2 units (or) 4 units

Now, use our online length and width of a rctangle calculator and find the length and width of a rectangle if its area and perimeter are as follows:

• Area = 80 square units, Perimeter = 36 units
• Area = 72 square units, Perimeter = 40 units

☛ Related Articles:

• Rectangle
• Perimeter of a rectangle
• Area of rectangle

☛ Math Calculators:

Imaginary Number Calculator	Fraction Calculator
Greater Than Calculator	Factoring Calculator