Parallelogram, Square, Rhombus
and Rectangle Calculator
Scroll down for Instructions and Definitions

 Click on the data you know:     SQUARE - 1 SIDE     SQUARE - 1 DIAGONAL     RECTANGLE - 2 SIDES    RHOMBUS - 1 SIDE and 1 ANGLE    PARALLELOGRAM - 2 SIDES and 1 ANGLE

First, click on one of the 5 choices, enter the data in the appropriate input boxes, then click "CALCULATE".

This calculator displays a huge amount of data for a small amount of input. For example, just by inputting the diagonal of a square (choice #2) your output will show the area of the square, the perimeter, the length of 1 side, and so on.

When inputting parallelogram data, side 1 and side 2 must be the non-parallel sides. (No matter what the input order, the program will determine which side is the shorter side. Also, if an obtuse angle is input, the program will automatically convert it to an acute angle).

Lines AC and DB are called diagonals.
Line 'h' is perpendicular to lines AB & DC and is called the height or altitude.

Area Formulas
Parallelogram area = height × AB
or area = height × DC

Rhombus Area = (product of the diagonals) ÷ 2

ALL PARALLELOGRAMS have the following properties:
1) BOTH pairs of opposite sides are equal.

2) BOTH pairs of opposite angles are equal.
∠ ADC = ∠ ABC and ∠ DAB = ∠ DCB

3) The diagonals bisect each other.

4) Each diagonal forms 2 congruent triangles.
Δ ADC = Δ ABC and Δ DAB = Δ DCB

Three special parallelograms have the above 4 properties and some additional ones.

SQUARE
-ALL SIDES ARE EQUAL
-ALL ANGLES ARE EQUAL
-BOTH DIAGONALS ARE EQUAL
-DIAGONALS MEET AT RIGHT ANGLES

RECTANGLE
-ALL ANGLES ARE EQUAL
-BOTH DIAGONALS ARE EQUAL

RHOMBUS
-ALL SIDES ARE EQUAL
-DIAGONALS MEET AT RIGHT ANGLES

Significant Figures >>>
The default setting is for 5 significant figures but you can change that by inputting another number in the box above.

Answers are displayed in scientific notation and for easier readability, numbers between .001 and 1,000 will be displayed in standard format (with the same number of significant figures.)
The answers should display properly but there are a few browsers that will show no output whatsoever. If so, enter a zero in the box above. This eliminates all formatting but it is better than seeing no output at all.

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