Calculating the Area of Polygons

Formulas to Calculate

the

Area of Polygons

area formulas

This program provides online calculators that will do the Area calculations for you.

Each Area calculator is shown below. Type in the side lengths and click on the 'Submit' button to get the answer for the Area. It's that easy!

Area of a Triangle

triangle base =
height =

The Answer is:

Area of a Rectangle

rectangle length =
width =

The Answer is:

Area of a Square

square Side length =

The Answer is:

Area of a Parallelogram

parallelogram base =
height =

The Answer is:

Area of a Rhombus

rhombus diagonal1 =
diagonal2 =

The Answer is:

Area of a Kite

kite diagonal1 =
diagonal2 =

The Answer is:

Area of a Trapezoid

trapezoid base1 =
base2 =
height =

The Answer is:

Area of a Regular Pentagon

pentagon side length =

The Answer is:

Area of a Regular Hexagon

hexagon side length =

The Answer is:

Area of a Regular Heptagon

heptagon side length =

The Answer is:

Area of a Regular Octagon

octagon side length =

The Answer is:

Quick Recall:

In Algebra, the multiply sign “x” is not used due to confusion when solving equations for ‘x’ and working with concepts like ordered pairs (x, y) containing variable ‘x’. For example: the ordered pair (3, 6) contains a value of

x = 3 and y = 6

Make sure that when you are working with multiplication in Algebra, a single dot is placed between the two values to be multiplied.

Example: 5 x 4 is the same as 5∙4

notice x has been replaced with the dot used to represent multiplication

Each of these expressions have the same answer: 20. These equations are therefore called "Equivalent Expressions". They are 'Equivalent' because both their answers 'Equal' the same number, in this case, 20.

The formulas for the "Regular" polygons used here differ from the ones you can Google due to the fact that they were simplified to the easiest method to type them into a regular calculator if you wanted to calculate the answer by hand.

Here, we simply use the formulas, regardless of their origination. They can calculate the answers for us quickly and easily. There is no need for manual calculations when using this program (which are often time-consuming and slow down the process in calculating the answer).

If you would like to learn more about where the formulas originate from, please refer to Google for additional reading and information as this will be covered in later sections of math.