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Produced by Karen, Patrik, Franklid and Janette – 7H ACCELERATION CLASS SMPK 4 PENABUR –

A quadrilateral is a polygon that has 4 sides, and four corners. If the interior angles are added up, the sum will be 360ᵒ. Some quadilaterals are convex or concave. The origin of the word quadilateral is from two Latin words, quadri (a varient of four) and latus (sides).

What is Quadrilateral ???

The Rhombus BiographyWhat is a Rhombus?

A rhombus is In Euclidean geometry, a rhombus or rhomb is a convex quadrilateral whose four sides all have the same length. The rhombus is often called a diamond, after the diamonds suit in playing cards, or a lozenge, though the latter sometimes refers specifically to a rhombus with a 45° angle.Every rhombus is a parallelogram, and a rhombus with right angles is a squareThe English word "rhombus" derives from the Ancient Greek ῥόμβος (rhombos), meaning "spinning top". The plural of rhombus can be either rhombi or rhombuses.

FOR FASHION (CERTAIN PEOPLE) !!!

For Protection ..... FENCESS !!!

For Architecture

Characteristics Of Rhombus

Characteristics:A convex quadrilateral is a rhombus if and only if it

is any one of The following:• a parallelogram in which at least two

consecutive sides are equal in length• a quadrilateral with four sides equal in length• a parallelogram in which a diagonal bisects an

interior angle• a quadrilateral in which each diagonal bisects

two interior angles• a parallelogram in which the diagonals are

perpendicular• a quadrilateral in which the diagonals are

perpendicular and bisect each other

FORMULA OF RHOMBUS PERIMETER

How to find the perimeter of a rhombusLike any polygon, the perimeter is the total distancearound the outside, which can be found by addingtogether the length of each side. In the case of arhombus, all four sides are the same length bydefinition, so the perimeter is four times the lengthof a side. Or as a formula:perimeter = 4Swhere:

S is the length of any one side

FORMULA OF RHOMBUS AREA Area of Rhombus (given the length of

the diagonals) A rhombus is a 4-sided polygon that has 4

equal sides. The diagonals of a rhombus bisects each other at right angles.

Area of rhombus =  product of diagonals A= ½ x 1st diagonal x 2nd diagonal

Instead of using the common Rhombus formula, we can also use :

Trapezoid formula Triangle formula Parallelogram formula Rectangle formula

Fun Facts about Rhombus Area Formula

SWEET RHOMBUS PROBLEMS !!!

Rhombus Problems (normal)

Area of the yellow rhombus : 54 cm2

Diagonal 1 (yellow rhombus) : 9 cm

Find the area of the orange area without the yellow area !!!

12 cm

16

cm

RHOMBUS PROBLEMS (NORMAL)

a) Find the area of big rhombus!!b) Find the area of the green

rhombus !!!

39

cm

24 cm

RHOMBUS PROBLEMS (MEDIUM)

a) Find the area of the orange rhombus !!!

b) Find the area of the blue area !!!

24 cm

32 c

m

The size of the obtuse angle of a rhombus is twice the size of its acute angle. The side length of the rhombus is equal to 10 km.

a) Find its angleb) Some stores are going be built along the

rhombus perimeter and its diagonall. Distance every store is 10 m. How much store it will be at the rhombus ???

Rhombus Problems (medium)

Thank You