Dimensions of a Rectangle Calculator

If you're wondering how to find dimensions of a rectangle given area and perimeter, do not fret — our dimensions of a rectangle calculator helps you find the dimensions of a rectangle right away.

If you want to know more about rectangles and how to find their dimensions, please continue to read the below article.

A rectangle is a 2-dimensional geometrical shape formed by four perpendicular sides. Out of four sides, two sides are unique, and the other two sides are similar to the unique sides. These two unique sides are the dimensions of a rectangle.

If you're unsure of how to use the "dimensions of a rectangle calculator", just follow these steps:

1. Input the perimeter (P);
2. Input the area (A); and
3. Right away, you will get the dimensions of the rectangle.

Now you know how to find the dimensions of a rectangle with a given perimeter and area. Below, we provide more calculators that deal with calculations of several rectangle-related parameters. We hope it will help you solve the challenges posed by rectangles!

• Area of a rectangle calculator
• Diagonal of a rectangle calculator
• Rectangle diagonal angle calculator
• Perimeter of a rectangle calculator
• Surface area of a rectangle calculator
• Length of a rectangle calculator
• Width of a rectangle calculator
• Length and width of rectangle given area calculator
• Length and width of rectangle given perimeter calculator
• Perimeter of a rectangle with given area calculator
• Rectangle scale factor calculator
• Square feet of a rectangle calculator
• Golden rectangle calculator

To find the dimensions of a rectangle:

1. Rewrite the perimeter equation P = 2(a+b) in terms of one of the dimensions, like so: b = P/2−a.
2. Now insert the above equation into the equation for the area (A):
   • The area equation is given as A = a×b.
   • Substituting b inside A = a×b, we get A = a(P/2−a).
3. Solve the quadratic equation a² − (P/2)×a + A = 0 to get a.
4. Find b using b = P/2−a or b = A/a.
5. Hurray! Now you know how to find the dimensions of a rectangle given area and perimeter.

To find the dimensions of a square with side length a:

1. if you have the perimeter (P), write the perimeter equation P = 4a in terms of the side length, as a = P/4.
2. If you have the area (A), write the area equation A = a² in terms of the side length, as a = √A.
3. You can see that to find dimensions of a square, you just have to know either area (A) or perimeter (P).

To find the dimensions of a square with a given area, you just have to take the square root of A. Therefore, one of the dimensions of a square is a = √20 = 5 m.

The perimeter (P) of a rectangle is the sum of all the individual sides of a rectangle, i.e., P = 2x(a+b).