How To Find Length And Width From Area And Perimeter

Length and Width of a Rectangle Computer

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

What Is Length and Width of a Rectangle Reckoner?

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

Note: Enter numbers upto three digits.

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

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

Stride 1: Enter the value of the area and perimeter of the rectangle in the respective input boxes.
Stride 2: Click on "Summate" 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 '50' and 'w' respectively is the product of length and width, that is, "A = fifty × w".

The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is P = 2(50 + w).

To summate 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/50'. And then substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'fifty', that is,

P = ii (l + A/I).

And so substitute the value of the length 'l' of the rectangle in the equation west = A/fifty and simplify to notice the width 'w'.

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

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Solved Instance:

If the surface 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 = 50 × w' and simplify to find width 'w' in the grade of length 'fifty'.

A = fifty × w
8 = l × w
w = eight/l

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

P = 2 (l + w)
12 = two (l + eight/l)
6l = lⁱⁱ + 8
l^two - 6l + 8 = 0
l = 4 units (or) 2 units.

Substitute the value of the length '50' of the rectangle in the equation w = A/fifty and simplify to discover the width 'west'.

due west = A/l
If l = iv units, then w = 8/four = 2 units.
If l = 2 units, and then due west = 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 observe the length and width of a rectangle if its area and perimeter are as follows: