Dimensions of a Rectangle Calculator

FAQs

How do you find the dimensions of a rectangle?

To find the dimensions of a rectangle: Rewrite the perimeter equation P = 2(a+b) in terms of one of the dimensions, like so: b = P/2−a. 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). Solve the quadratic equation a² − (P/2)×a + A = 0 to get a. Find b using b = P/2−a or b = A/a. Hurray! Now you know how to find the dimensions of a rectangle given area and perimeter.

How do you find the dimensions of a square?

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

How to find the dimensions of a square whose area is 25 m²?

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 = √25 = 5 m.

What is the perimeter of a rectangle?

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