Perimeter and Area

Chapter 10
PERIMETER AND AREA

Pn Sazazila Abdullah

CONTENTS

Perimeter
Area of triangles , parallelograms ,

kites , and trapezium

Why study this chapter ?

Perimeter and area are essentially basic
knowledge of geometry and its related fields ,

hence they are widely used in agriculture ,
landscape and graphic designs .

Word link Word link

Measures of cenCtraol ntejnedcetnucrye- s-ukkaotnanjekketcuenrderunga

width - lebar

Title text kite - lelayang
area - luas
addition

length - panjang

perimeter - perimeter

formula - rumus

square - segi empat sama

Word link Word link

Measures of central tendency - sukatan kecenderunga

parallelogram - segi empat selari
Titlerteecxttangle - segi empat tepat
addition triangle - segi tiga

height - tinggi
trapezium - trapezium
square unit - unit persegi

10.1 PerimeWtoerrd link

Bar chart - carta palang

SFDrtoeetmqpulaoentnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dan daun
kekerapan

Perimeter is the total length around an enclosed area . For

example , we can determine the perimeter of various shapes

of swimming pools by finding the total length of all the sides

of the swimming pool .

Example 1 Word link

Determine the perimeter of each of the following shapes .

a) Solution :
Bar chart - carta palang

DSFrtoeetqmpulaoentnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dPaenridmaeutner = PQ + QR + RS + ST +
kekerapTaUn + UV + VW + WP
= 4 + 3+ 4 + 3 + 4 + 9 + 12 + 9

= 48 cm

Example 1 Word link

Determine the perimeter of each of the following shapes .

b) Solution :
Bar chart - carta palang

DFSrtoeetqmpuloaentnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dPaenridmaeutner = AB + BC + CD + DE +
kekerapEaFn + FA
= 6 + 4 + 6 + 5 +6 + 9

= 36 cm

How do you solve problem?
Example 2

BpTaehrreicmhdeaiatretgr-raocmfatrhtsaehposawwlasimnthmgeinpglapnooofl a swimming pool . What is
?
SFDrtoeetmqpuloaetnnTa-dcidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl
batang dSaonludtaiounn:
kekerapan
Perimeter

= 4 + 4 + 5 + 5 + 5 + 20 + 13 + 20

= 76 m

10.2 Area of trWianogrldesl,ipnakrallelograms , kites

and trapeziums .
How do you estimate the area of various shapes ?

BEarstcimhaartte-tchaertaarepaaloafntghis shape .

SFDrtoeetqmpuloaentnTa-dcidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batanNgudmabnedr aouf nfull 1 unit2 squares (√) = 44
kekeNraupmabner of half full or more than half

full squares (X) = 10

Hence , the area of the shape is about

44 + 10 = 54 unit2

10.2 Area of trWianogrldesl,ipnakrallelograms , kites

and trapeziums .
How do you derive the formula for the area of various

shapes ?

Bar chart - carta palang

SFDrtoeetqmpulaoetnnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dan daun
kekerapan

Area of triangle = 1  length of base  height
2

10.2 Area of trWianogrldesl,ipnakrallelograms , kites

and trapeziums .
How do you derive the formula for the area of various

shapes ?

Bar chart - carta palang

SDFrtoeetmqpuloaetnnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dan daun
kekerapan

Area of parallelogram = length of base  height

10.2 Area of trWianogrldesl,ipnakrallelograms , kites

and trapeziums .
How do you derive the formula for the area of various

shapes ?

Bar chart - carta palang

FDSrtoeetqmpulaoentnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dan daun
kekerapan

Area of kite = 1  length of base  height
2

10.2 Area of trWianogrldesl,ipnakrallelograms , kites

and trapeziums .
How do you derive the formula for the area of various

shapes ?

Bar chart - carta palang

FDSrtoeetmqpuloaentnTa-dcidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batang dan daun
kekerapan

Area of trapezium = 1  sum of the lengths of the two parallel sides height

2

WoErxdamlipnlek3

Calculate the area of each of the following shapes .

SFDBarato)eertmqcpuhlaoeantnTar-dctidty-pldleelctoiaaatttbifreottlpixaetniltkop-taja-ladpnulogatl 1  length of base  height
Area =dan2  10 cm2
batang daun

kekerapan 1 54
2

WoErxdamlipnlek3

Calculate the area of each of the following shapes .

Bba)r chart - carta palang
FDSrtoeetmqpuloaetnnTad-cidtypldleeltoiaatttbifeotlpixetniltko-tja- dpuloatl batAarnegada=nldeanugnth of base  height
kekerapan  6.2  3  18.6 cm2

WoErxdamlipnlek3

Calculate the area of each of the following shapes .

DSFBcrato)eertmqcpuhloaeantnTard-ctidty-pldleelctoiaaatttbifreottlpixaetniltkop-taja-ladpnulogatl Area = two parallel sides  height
batang dan daun
k1ekesruampoafnlength of
2

 1 (2  5.4)  3  11.1 cm2
2

WoErxdamlipnlek3

Calculate the area of each of the following shapes .

DBSFdrato)eertmqpcuhlaoeatnnTard-ctidtyp-ldleelctoiaaatttbifreottlpixaetniltkop-taja-ladpnulogatl Area = lengths of two diagonals
batang dan daun
ke12kerparpoadnuct of the

 1  (3  2)  (2  2)
2

 1  5 4  10 cm2
2