PART 1
a)
b)
Polygon is defined as
a closed, 2-dimensional shape made up of three or more straight line segments
connected end to end to end. Polygons have been known since ancient
times. The regular polygons were known to the ancient Greeks, and the pentagram,
a non-convex regular polygon (star polygon), appears on the vase of
Aristophonus, Caere, dated to the 7th century B.C. Non-convex
polygons in general were not systematically studied until the 14th century by
Thomas Bredwardine. In 1952, Shephard
generalized the idea of polygons to the complex plane, where each real
dimension is accompanied by an imaginary one, to create complex polygons.
c)
The four different
methods of finding the area of a triangle is stated below:
Method 1:
If you know base (b) and height (h) of the triangle, the
following formula can be applied.
Area = ½ x b x h
Method 2:
a
c
b
If you know
three sides (a, b and c) of the triangle, Heron’s Method can be applied.
s = (a+b+c) / 2
Area =Ö
s (s-a) (s-b) (s-c)
Method 3:
If you know two
sides (a and b) and the included angle (q),
the following
formula can be applied.
Area = ½ x a x b x sinq
Method 4:
If you know coordinate
of the three vertices, the following formula can be applied.
Method 5:
If you know
equation (y=mx+c) of the three lines, integration can be applied.
Area = 
(mx1
+ c) dx + 
(mx2 + c) dx - 
(mx3
+ c) dx
(mx1
+ c) dx + (mx2 + c) dx - (mx3
+ c) dx
PART 2
a)
Cost
needed to fence the herb garden =
RM20.00 per metre x 300m
= RM6000.00
b)
(Refer
to Microsoft Excel attached.)
c)
In
order for the enclosed area to be maximum, the shape of the triangle must be
equilateral. Therefore, the length of both p and q must be 100m.
d)
(i)
50
(ii)
p α 1/q
(iii)
A2 = B2 + C2 – 2 x B x C x cos (a). This
theorem is known as ‘Cosine Rule’.
PART 3
a)
Suggestion
1: Square
Suggestion
2: Pentagon
Suggestion
3: Hexagon
Suggestion
4: Heptagon
Suggestion
5: Octagon
b)
i)
Aloe vera - The local name is known as 'Lidah Buaya'. Due to its
exceptional healing properties, Aloe Vera is also known as "the little of
the desert", "the plant of immortality", "the first aid
plant" and "the miracle plant". It is also one of the most important
crude drug history and is still extensively used in modern medicine. It
contains the same painkilling and anti-inflammatory compound as in Aspirin.
Aloe vera is also a nutrient-rich-plant, containing more than 200
active-components, vitamins, minerals, essential amino acids, enzymes and other
plant chemicals which is said to gently strengthen, sustain and encourage
cellular activity in body.
Tongkat Ali -
It has become popular for its testosterone-enhancing properties. Because of
that, it is included in certain herbal supplements for bodybuilders.
Historically, it has been used by the folk medicine in its countries of origin
as a libido enhancer and to treat various sexual dysfunctions. Numerous
scientific studies performed by Malaysian Universities, including University
Science Malaysia (USM) have confirmed its effects on enhancing sexual
characteristics in animal models. Currently, it is being researched for its
possibilities as an anti-cancer supplement.
Agrimony - It is not commonly used today, but has its place in
traditional herbal medicine. This herb is safe
for use for minor ailments in most healthy people. Like most herb simples, the
uses to which it is put are remarkably varied. The English use it to make a
delicious "spring" or "diet" drink for purifying the blood.
It is considered especially useful as a tonic for aiding recovery from winter
colds, fevers, and diarrhea. Agrimony contains tannin and a volatile essential
oil.
ii)
(Logo to be created by your own creativity.)
GOOD LUCK TO ALL SPM CANDIDATES YEAR
2012
