Dimensions of a Rectangle Calculator
Table of contents
What are the dimensions of the rectangle?How to use our "Dimensions of a Rectangle Calculator"?More calculators to tackle rectangles!FAQsIf 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.
What are the dimensions of the rectangle?
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.
How to use our "Dimensions of a Rectangle Calculator"?
If you're unsure of how to use the "dimensions of a rectangle calculator", just follow these steps:
- Input the perimeter (
P
); - Input the area (
A
); and - Right away, you will get the dimensions of the rectangle.
More calculators to tackle rectangles!
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
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
insideA = a×b
, we getA = a(P/2−a)
.
- The area equation is given as
- Solve the quadratic equation
a² − (P/2)×a + A = 0
to geta
. - Find
b
usingb = P/2−a
orb = 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 equationP = 4a
in terms of the side length, asa = P/4
. - If you have the area (
A
), write the area equationA = a²
in terms of the side length, asa = √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)
.