4. P = 2 (w + l)
l
w w
l
Perimeter of Rectangle= w+w+l+l
Perimeter of Rectangle= 2w+2l
Perimeter of Rectangle= 2(w+l)
5. Exercise
1. Calculate the perimeter and the area of rectangles
with the following measures:
a. Length is 17 dm and width is 7 dm.
b. Length is 20 mm and width is 5 mm.
c. Length is 25 m and width is 8 cm.
9. 1. The opposite sides are parallel.
2. All of the angles are right angles.
3. The diagonals are equal and bisect each other.
4. All the sides are equal.
5. The diagonals 1. The opposite sides are parallel.
2. All of the angles are right angles.
3. The diagonals are equal and bisect each other.
4. All the sides are equal.
5. The diagonals bisect the angles.
6. The diagonals cross perpendicularly.
19. If both diagonals of a quadrilateral are
perpendicular and bisect each other,
then it is called a rhombus.
Rhombus is a
quadrilateral with four
equal sides.
We can also say
23. All sides are equal
Opposite sides are parallel
Vertical angles are equal
The diagonals bisect the angles
Both diagonals are perpendicular and bisect
each other
Diagonals bisect the rhombus or they are the
axis lines
The sum of the two adjacent angles is 180°
25. The area of rhombus= Area of ACD + Area of ACB
The area of rhombus= ½ (AC)(a) + ½ (AC)(a)
The area of rhombus= ½ (AC)(a+a)
The area of rhombus= ½ (AC)(2a)
The area of rhombus= ½ (d1)(d2)
a
a
C
D
A
B
O
The area of a rhombus is equal to a
half of the product of the diagonals.
27. The perimeter of a rhombus is four times the length
of the sides.
Suppose P is the perimeter of a rhombus with the
length of side s, then
P = 4 × s
28. Exercise
The area of rhombus
ABCD is 180 cm2 .
The length of
diagonal AC is 24
cm. what is the
length of BD?
34. 1. Two pairs of the sides close
to each other are equal,
namely AB = AD and BC =
DC.
2. One pair of backside angles
is equal, that is ∠ABC =
∠ADC.
3. One of the diagonals bisects
the kite, that is ΔABC =
ΔADC or AC is the axis of
symmetry.
4. Diagonals are perpendicular
to each other and one of the
diagonals bisects the other,
that is, AC ⊥ BD and BE =
ED .
B
C
D
A
36. The area of kite= Area of ACD + Area of ACB
The area of kite= ½ (AC)(a) + ½ (AC)(b)
The area of kite= ½ (AC)(a+b)
The area of kite= ½ (d1)(d2)
a
b
C
D
A
B
O
The area of a kite is equal to a half
of the product of the diagonals.
42. 1. Make a parallelogram and give the identity the
base and the height!
2. Cut on line DE and move the triangle AED such
that side ad coincide side BC, ∠A becomes
supplement of ∠B, and ∠D becomes complement
of ∠C. What shape do you get?
B
D C
A
Height
(t)
Base (a)
43. 3. What can you say about the area of the rectangle
and the area of the initial parallelogram? Are they
the same?
4. What is the area of a rectangular?
5. What can you conclude about the area of
parallelogram?
44. The Area and Perimeter of Parallelogram The area of parallelogram is defined as product of
the base and the height.
The perimeter of a parallelogram is defined as twice
of two adjacent sides of the parallelogram.
If a parallelogram has area A, base a, adjacent side
of a is b and height t, then
A = a × t
P = 2 (a + b)