Find the area of a shape calculator

Rectangle Shape

Find the area of a shape calculator

a = length side a
b = length side b
p = q = diagonals
P = perimeter
A = area
√ = square root

Calculator Use

Use this calculator if you know 2 values for the rectangle, including 1 side length, along with area, perimeter or diagonals and you can calculate the other 3 rectangle variables. A square calculator is a special case of the rectangle where the lengths of a and b are equal.

Units: Note that units of length are shown for convenience. They do not affect the calculations. The units are in place to give an indication of the order of the calculated results such as ft, ft2 or ft3. Any other base unit can be substituted.

Rectangle Formulas

Area of a rectangle:

A = ab

Perimeter of a rectangle:

P = 2a + 2b

Polygon diagonals of a rectangle:

p = q = √(a2 + b2)

Rectangle Calculations

  • Calculate A, P, p | Given a, b
    Given sides lengths a and b calculate area, perimeter and diagonals
    • A = ab
    • P = 2a + 2b
    • p = q = √(a2 + b2)
  • Calculate P, p, b | Given A, a
    Given area and side length a calculate perimeter, diagonals and side b
    • b = A / a
    • P = 2a + 2b
    • p = q = √(a2 + b2)
  • Calculate P, p, a | Given A, b
    Given area and side length b calculate perimeter, diagonals and side a
    • a = A / b
    • P = 2a + 2b
    • p = q = √(a2 + b2)
  • Calculate A, p, b | Given P, a
    Given perimeter and side length a calculate area, diagonals and side b
    • b = (P - 2a) / 2
    • A = ab
    • p = q = √(a2 + b2)
  • Calculate A, p, a | Given P, b
    Given perimeter and side length b calculate area, diagonals and side a
    • a = (P - 2b) / 2
    • A = ab
    • p = q = √(a2 + b2)
  • Calculate A, P, b | Given p, a
    Given diagonals and side length a calculate area, perimeter and side b
    • b = √(p2 - a2)
    • A = ab
    • P = 2a + 2b
  • Calculate A, P, a | Given p, b
    Given diagonals and side length b calculate area, perimeter and side a
    • a = √(p2 - b2)
    • A = ab
    • P = 2a + 2b

How to find the area of irregular shapes?

Remember, the input can only be in feet (ft), inches (in), yards (yd), centimetres (cm), millimetres (mm) and metres (m) but never a combination of two different units!. . If you have inputs in different units of measurement. Please refer to our conversion table below.

Formula

Area = b × h

Find the area of a shape calculator

Understanding the area of irregular shape:

What is the difference between regular and irregular shape?

Regular Shape: The sides and angles of regular shapes are all equal.

Irregular Shape: The sides and angles of an irregular shape can be of any length and size.

Find the area of a shape calculator

Find the area of a shape calculator

Regular Shape

Irregular Shape

How to calculate area of an irregular shape?

Now that we know the difference between regular and irregular shapes. Let’s make our calculation process simple by dividing the irregular shape into regular shapes. Check example below, here we have divided the shapes into triangles which is a regular shape.

Find the area of a shape calculator

Then, you can easily calculate the area of each triangle by using the Heron’s Formula.
Find the area of a shape calculator

After calculating area of each triangle, simply add all of them to find the area of an irregular shape.

How to use irregular area calculator?

Step 1: Measure all sides of the area in one unit (Feet, Meter, Inches or any other).

Step 2: Enter length of horizontal sides into Length 1 and Length 2. And Width of the vertical sides into Width 1 and Width 2. (See image above).

Step 3: Press calculate button. The output our calculator provides is independent of the unit of measurement. For example, If you have entered values in feet. The output will always be in feet.

Our Formula: Area = b × h

Abbreviations of unit area:

Ft2 = Square feet

In2 = Square Inches

Yd2 = Square Yards

Cm2 = Square Centimeters

Mm2 = Square Millimeters

M2 = Square Meters

How to find the area of a parallelogram?

Step 1: Determine all the sides of irregular shape, Make sure all the sides are in same unit.

Step 2: Draw the area on a piece of paper using the measurements you obtained. Remember your drawing is to scale.

Step 3: Divide the drawing into different shapes. The easy ones are Square and rectangle, circles and triangle could be a bit tricky.

Step 4: Calculate the area of each shape using our Square footage calculator. For rectangles and squares, multiply width by height. For triangles, multiply the base by the height and then divide by 2. For circles, multiply the radius square by 3.14 (pi). The radius of a circle is the distance from its center point to any other point on the edge of the circle.

Step 5: Add the areas of all the individual shapes to find the total square footage.

Our Formula: Area = b × h

Conversion factors:

To convert among square feet, square inches, square yards, square centimetres, square millimetres and square meters you can utilize the following conversion table.

Square feet to yards multiply ft2 by 0.11111 to get yd2
Square feet to meters multiply ft2 by 0.092903 to get m2
Square yards to square feet multiply yd2 by 9 to get ft2
Square yards to square meters multiply yd2 by 0.836127 to get m2
Square meters to square feet multiply m2 by 10.7639 to get ft2
Square meters to square yards multiply m2 by 1.19599 to get yd2
Square meters to square millimetres multiply the m2 value by 1000000 to get mm2
Square meters to square centimetres multiply the m2 value by 10 000 to get cm2
Square centimetres to square metres multiply the cm2 value by 0.0001 to get mm2
Square centimetres to square millimetres multiply the cm2 value by 100 to get mm2
Square millimetres to square centimetres multiply the mm2 value by 0.000001 to get cm2
Square millimetres to square metres multiply the mm2 value by 1000000 to get m2

How do you calculate the area of a shape?

Area is calculated by multiplying the length of a shape by its width. In this case, we could work out the area of this rectangle even if it wasn't on squared paper, just by working out 5cm x 5cm = 25cm² (the shape is not drawn to scale).

How do I calculate the area of an irregular shape?

To find the area of an irregular shape, we first break the shape into common shapes. Then we find the area of each shape and add them. For example, if an irregular polygon is made up of a square and a triangle, then: Area of irregular polygon = Area of Square + Area of Triangle.

How do you find the area with different sides?

Use the following equation: Area = side × side or A = s. Example: If one side of a square has a length of 4 feet, (t = 4), then the area of this square is simply t2, or 4 x 4 = 16 square feet.