Perimeter of a Rectangle with Given Area

Created by Vishnuvardhan Shakthibala
Reviewed by Aleksandra Zając, MD
Last updated: Mar 14, 2022

Are you looking for a way to find the perimeter of a rectangle by knowing the area and a side? Then, you are in the right place. Our perimeter of a rectangle with given area calculator will assist you in finding the perimeter of a rectangle right away. Right after you insert the area A and a side Side 1 (this is the side that is known to you), our calculator will give you the perimeter P.

Please read on to learn more about:

  • The perimeter of a rectangle;
  • Equations used to find the perimeter of a rectangle; and
  • Other calculators that will help you answer any questions related to a rectangle.

What is the perimeter of a rectangle?

Perimeter is a quantity that measures the total length of 2-D or 3-D geometry's outer boundary: measurement starts from one point (say point z) and ends at the same point (point z). A rectangle is closed by four perpendicular sides, and two of them are unique. The perimeter of a rectangle equation is given by P=(a+b+a+b), which is basically measures all sides. In a simplified form: P=2×(a+b).

How to use perimeter of a rectangle with given area calculator?

To use our calculator, follow the below points:

  • First, you should know area A and at least one side of the rectangle;
  • Insert the area value and known side value inside Area (A) and Side 1 (a) fields;
  • Once inserted, our calculator provides you with missing side Side 2 (b) and perimeter of the rectangle P.
  • Hurray! We believe now you can use our perimeter of a rectangle with given area calculator to find the perimeter of a rectangle quickly. If you are looking for ways to find every possible parameter related to a rectangle, you should check the next section.

FAQ

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

You can use the following points to find the perimeter of a rectangle given area:

  • You need to know at least one side of the rectangle: call it Side 1;
  • Now use the area equation, i.e., A=Side 1 × Side 2 to find the unknown side Side 2; and
  • Finally use Side 1 and Side 2 to find the perimeter, i.e., P=2×(a+b).
  • Awesome! Now you know how to find the perimeter of a rectangle. Use our perimeter of a rectangle with given area calculator to do this calculation and get the perimeter at supersonic speed!

How can you calculate the perimeter of a rectangle whose area is 20 m^2 and length is 4 m ?

To find the perimeter:

  • Find the width w by diving the area A=20 cm^2^ by length l =4 cm ,i.e., w=20/4=5; and
  • Once, width w is found, the perimeter is calculated as P=2×(w+l)=2×(5+4)=20 m.

What is the difference between the area and perimeter of a rectangle?

The difference between area and perimeter are as follows:

  • Area is a quantity that shows how much space a geometry occupies, whereas perimeter gives us the measurement of the total length of the outer boundary of the geometry;
  • Area of rectangle equation is given as A=length×width , and perimeter of a rectangle equation is given as P=2×(length+width)
  • SI unit of area is m2, and for perimeter, it is m.

What is the perimeter of a rectangle 11m x 5m?

Perimeter of this rectangle is 32 m. 11 m and 5 m are the length and width of a rectangle, respectively. Knowing length and width, you can calculate perimeter as P=2×(11+5)=32.

Vishnuvardhan Shakthibala
Image of a rectangle with sides a and b, diagonal d, perimeter and area marked.
Area (A)
in²
Side 1 (a)
in
Side 2 (b)
in
Perimeter (P)
in
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