MATHEMATICS FORM 1 – PERIMETERS AND AREA msomimaktaba, November 11, 2018August 17, 2024 PERIMETERS AND AREAPERIMETER:The perimeter is the length of a closed curve. It is measured in centimeters, meter, kilometer etcTo find the perimeter of a shape, add the length of the sides which enclose it.Example:Find the perimeter of rectangle which is 6m by 9msolutionConsider the diagram below There are two lengths of 6m, and two of 9m Add these 6m + 6m + 9m + 9m = 30m The perimeter is 30m2. find the perimeter of the following shapesSolution (a)The Perimeter = 4m +6m +10m +12m=32m The perimeter is 32m(b) For the triangleThe perimeter = 4cm + 5cm +7cm= 16cm The perimeter = 16cm(a) In the figure below find the value of p if the perimeter is 24cm solution.The perimeter = 5cm +6cm +P cm +P cm24 =16cm +2Pcm2Pcm = 24cm – 16cm2Pcm = 8cmP = 4 Circumference of circles:The perimeter of a circle is the length of its circumference.If c is the circumference, d is the diameter, then the result isMultiplying across by d, it become dIf radius r is given, thenNOTE: Example1) A Circular running track has radius 6cm. What is the length of the track?SolutionTakeC=2x 3.14×6C=37.68cm(a) Circumference 88m(b) Circumference 210mSolution: 28m The diameter d = 28mAREA:- The area of a shape is the one that gives how much surface it covers.Area is measured in square centimeters (cm) 2, square meters (m) 2, and square kilometer (km) 2……….Rectangle:- consider the figure belowArea = length x width= a units x b units= ab units squareExample: The length of a rectangle is 55cm, and the length is 8cm. What is the area?.Solution:Area = length x width= 55cm x 8cm= 440cm2The area of a rectangle = 440cm2 2. The area of a rectangle is 2470m2, and the length is 65m, what is the width .SolutionGiven Area = 2470m2Length = 65mBut Area = length x width2470m2 = 65m x widthWidth = 38mThe width of the rectangle is 38m.Parallelogram The area of a parallelogram = base x heightIf base is b and height is hThen Area = bhThe height of parallelogram is the perpendicular height.Example The parallelogram has base 15cm and height 22mm.What is its area? give your answer in cm Height = 22mm10cm = 10mm? = 22mm= 2.2 cm But Area = base x height= 15cm x 2.2 cm= 33cm2 The area of a parallelogram = 33cm22. A rhombus has side 1.2m and height 0.8m. What are its areas?SolutionBut Area = base x height=1.2m x 0.8m= 0.96m2 The area of a rhombus = 0.96m2 Triangle:-Consider the triangle below:- Example: find area of triangle of below 9m2 The area = 9m2TRAPEZIUM consider the parallel side of a trapezium are a and b as shown below Then Example; Find the area of the Trapezium belowSolution Where b = 20cm + 6cmb = 26cma = 20cmh = unknownArea =184cm2Area of a circle:-Consider a circle with radius r shown below If the circle has the diameter d as shown below Then its area is Since, d = r x r d = 2r Example:-Find the area of the circle with the following measurement (a) Diameter 8m(b) Radius 3cm(c) Diameter 0.2kmSolution EXERCISE 1. find the perimeter of the shapes 2. find the area of these shapes3. A ball of radius 5m rolls along the ground 100 times ,a) How far has it traveled?b) How many times must the ball roll for it to cover 157m?(Take =3.14)SOLUTIONS TO EXERCISE 1 1. a) Perimeter = 2.5cm + 8cm + 10cm + 3cmPerimeter = 23.5cmb) Perimeter of triangle = 8cm + 6cm +5cmPerimeter = 19cm c) Perimeter =2 (12cm + 7cm)= 2 x 19cmPerimeter = 38cm2. a) Area = base x heightBase = 2m, height = 1.5mArea = 2m x 1.5m= 3.0m2Area = 3m2 Area = 6m2a) It Rolls 100 times.Rolling 1 time cover 31.4mRolling 100 times it will cover 31.4m x 100= 3140mIt will cover 3140m b) For the ball to cover 157m, it will roll x timesx= 5The ball will rolls 5 times. ALL NOTES FOR ALL SUBJECTS QUICK LINKS:AGRICULTURE O LEVEL PURE MATHEMATICS A LEVELBAM NOTES A LEVELBASIC MATH O LEVELBIOLOGY O/A LEVELBOOK KEEPING O LEVELCHEMISTRY O/A LEVELCIVICS O LEVELCOMPUTER(ICT) O/A LEVELECONOMICS A LEVELENGLISH O/A LEVELCOMMERCE O/A LEVELACCOUNTING A LEVELGENERAL STUDIES NOTESGEOGRAPGY O/A LEVELHISTORY O/A LEVELKISWAHILI O/A LEVELPHYSICS O/A LEVELMOCK EXAMINATION PAPERSNECTA PAST PAPERS Basic Mathematics Study Notes Form 1 Basic Mathematics Study Notes Msomi Maktaba All Notes FORM 1MATHEMATICSPost navigationPrevious postNext postRelated Posts Form 2 Geography Study Notes Form 2 Geography – SUSTAINABLE USE OF FOREST RESOURCES November 11, 2018February 13, 2019ALL NOTES FOR ALL SUBJECTS QUICK LINKS: AGRICULTURE O LEVEL PURE MATHEMATICS A LEVEL BAM NOTES A LEVEL BASIC MATH O LEVEL BIOLOGY O/A LEVEL BOOK KEEPING O LEVEL CHEMISTRY O/A LEVEL CIVICS O LEVEL COMPUTER(ICT) O/A LEVEL ECONOMICS A LEVEL ENGLISH O/A LEVEL COMMERCE O/A LEVEL ACCOUNTING A LEVEL… Read More Form 3 Kiswahili Study Notes Form 3 Kiswahili – UHAKIKI WA KAZI ZA FASIHI ANDISHI November 13, 2018February 13, 2019ALL NOTES FOR ALL SUBJECTS QUICK LINKS: AGRICULTURE O LEVEL PURE MATHEMATICS A LEVEL BAM NOTES A LEVEL BASIC MATH O LEVEL BIOLOGY O/A LEVEL BOOK KEEPING O LEVEL CHEMISTRY O/A LEVEL CIVICS O LEVEL COMPUTER(ICT) O/A LEVEL ECONOMICS A LEVEL ENGLISH O/A LEVEL COMMERCE O/A LEVEL ACCOUNTING A LEVEL… Read More Form 5 Commerce Study Notes FORM FIVE COMMERCE – INSURANCE November 11, 2018February 13, 2019ALL NOTES FOR ALL SUBJECTS QUICK LINKS: AGRICULTURE O LEVEL PURE MATHEMATICS A LEVEL BAM NOTES A LEVEL BASIC MATH O LEVEL BIOLOGY O/A LEVEL BOOK KEEPING O LEVEL CHEMISTRY O/A LEVEL CIVICS O LEVEL COMPUTER(ICT) O/A LEVEL ECONOMICS A LEVEL ENGLISH O/A LEVEL COMMERCE O/A LEVEL ACCOUNTING A LEVEL… Read More Leave a Reply Cancel replyYour email address will not be published. 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