Main Menu > Quadrilateral > Parallelogram > Rhombus
A rhombus is a quadrilateral / parallelogram that has FOUR (4) EQUAL SIDES but not necessarily right angles (90°) like a square or a rectangle.
A right angle is an internal angle which is equal to 90°.
INTERESTING FACTS:
It is helpful to think of a RHOMBUS as a SQUARE or a RECTANGLE that has been pushed from a side so that all its sides are equal in length.
Formula 1:
Formula 2:
DEFINITIONS:
If you place a RHOMBUS inside of a box (a rectangle or a square) and then,
If all sides of the rhombus are equal and if you place a RHOMBUS inside of a box (a square but NOT a rectangle) and then,
KEY: Since a rhombus is basically a square that has been "slanted," it can still be treated somewhat like a square. So, instead of having to learn another formula (AreaRhombus = altitude × S), treat the altitude as the height and S as the width and simply use the rectangle formula (height x width) instead. See STEP-BY-STEP SOLUTIONS for detail examples.
A rhombus with an altitude of 4 in and a side of 5 in has an area of:
AreaRhombus = 4 in x 5 in = 20 in2
A rhombus with both diagonals of 4 has an area of:
AreaRhombus = 4 in x 4 in = 16 in2/2 = 8 in2
CAUTION: Like a kite, if a rhombus is a square, you may be tempted to use the height and width of the square as its diagonals. This would be wrong to do. You need to ascertain its diagonals instead by using the Pythagorean Theorem (c2 = a2 + b2).
AreaKite = (4.24 in × 4.24 in)/2 ≈ 18 in/2 ≈ 9 in2
Notice that the area of the square (which can be a rhomubus) is 9 in2 instead of 4.5 in2. You could have just as easily used the square formula (S2) or the more common rectangular formula (height x width) that has been used in this app to determine the area.