Area and Perimeter. Area and Perimeter. Solutions. Curriculum Ready.

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1 Are n Perimeter Are n Perimeter Solutions Curriulum Rey

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3 How oes it work? Solutions Are n Perimeter Pge questions Are using unit squres Are = whole squres Are = 6 whole squres = units = 6 mm Are = whole + hlf squres Are = whole + hlf squres = m + # m = units + # units = m = 6 units e Are = whole + qurter squres f Are = whole + qurter squres = units + # units = m + # m = units =.5 m g Are = whole + hlf + qurter squres = units + # units + # units = 6 units Pge questions Are using unit squres Are 9 m = Are = units Are = 6 m Are =.5 mm e Are = 5 units f Are mm 8 = g Are =. 5 km h Are = m Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC

4 How oes it work? Solutions Are n Perimeter Pge questions Are using unit squres Here re solutions. There re more... Pge 7 questions Perimeter using unit squres Perimeter = units = 8 units Perimeter = units = 8 units H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

5 How oes it work? Solutions Are n Perimeter Pge 7 questions Perimeter using unit squres Perimeter = units = 8 units P = 0 units P = units P = units P = units Even though the shpes ll hve the sme re, they o not ll hve the sme perimeter lengths. This shows tht the shpes with the sme re will not neessrily hve the sme perimeter. So the perimeter is not relte to the re of the shpe. Pge 8 questions Perimeter using unit squres P = 0 units P = units P = units P = 6 units P = 8 units P = 0 units P = units P = units P = 5 units P = 7 units P = 9 units Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC

6 Where oes it work? Solutions Are n Perimeter Pge 0 questions Are: Squres n retngles Are = # units Are = 0.6 # 0.6 m length with length with = units = 0.6 m Are = # units Are = 5 # mm. length with length with = 6 units = 6 mm Are =. #. km Are = 7 #. m length with length with =.96 km = 0. m. km (to nerest whole km ). 0 m (to nerest whole m ) Length = Are ' with = 8 units ' units = 7 units ` Thelengthofthe retngleis 7 units. Length of eh sie = = units Pge questions Are: Tringles Are = # # units Are = # 8 # 8 units se height se height = units = units H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

7 Where oes it work? Solutions Are n Perimeter Pge questions Are: Tringles Are = # # 8 mm Are = # # m = 8 mm = 8 m Are = # 0 # 7.5 units Are = # 6 #.5 m = 7.5 units =.5 m e Are = # 5 # m = 0 m Pge questions Are: Prllelogrms Are =.5 # 0 units Are =.6 #. m = 50 units = 0. m Are = # # m # 0 m Are = # #. mm # 6. mm = 0 m = 9. mm Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC 5

8 Where oes it work? Solutions Are n Perimeter Pge 6 questions Are of omposite shpes Are = mm # mm Are = mm # mm = 6 mm = mm ` Composite re = 6 + mm = 0 mm Are = 0.5 # 6 # 8 m Are = # 5 m = m = 55 m ` Composite re = + 55 m = 79 m Are = 6.5 # m Are = 0.5 # # m = m = m ` Composite re = - m = 9 m Are = 0.5 # 8 # 5 m Are = # m = 0 m = m ` Composite re = 0 - m = 6 m 6 H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

9 Where oes it work? Solutions Are n Perimeter Pge 7 questions Are of omposite shpes Are = Are of squre + re of tringle = m # m + ^ m # 5mh' = 69m + 0 m = 99 m 00 m = m n 00 m = m Are = Are of prllelogrm + re of tringle = 5. m # m+ 5. m # m =. 5m + 9m =. 5 m Are = Are of lrge squre -re of smll squre = 6mm # 6mm -mm # mm = 6 mm - mm = mm Are = Are of retngle+ reofsqure+ reoftringle = 5units # 0units + 5units # 5units + ^5units # 6unitsh' = 50 units + 5 units + 5 units = 90 units Pge 9 questions Perimeter of simple shpes Perimeter = 5 units + 7 units + 8 units = 0 units Perimeter = # 9 mm + # 6 mm = 0 mm Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC 7

10 Where oes it work? Solutions Are n Perimeter Pge 9 questions Perimeter of simple shpes Perimeter = # 5 m = 0 m Perimeter = # m + 5 m = 7 m Perimeter = # 5.8 m Perimeter = # 5 m =. m = 5 m Perimeter = ^ #. + # 6. hmm Perimeter = ^ hm = 8 mm = 0. 8 m Pge 0 questions Perimeter of simple shpes m 00 m = 6.5 m 65 mm ` Perimeter = ^ hm ` Perimeter = ^ # 5 + # 65hmm = = 50 m = 780 mm 8 H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

11 Where oes it work? Solutions Are n Perimeter Pge 0 questions Perimeter of simple shpes P = m F V 8 m. m 5. m P = m E L N T. m.5 m 80 m P = m 9 m W S v 0 m m P = m 6.5 m P = 8 m m N v H E Y T R G 7 m 650 m. m 6 m.6 m P = m 5 m T W E N T Y m v Pge questions Perimeter of omposite shpes = m =.8 mm = 9 m = 5. m = 5 m =. mm = 6 m =. m Perimeter = 5 # 9.8 m = 9 m Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC 9

12 Where oes it work? Solutions Are n Perimeter Pge questions Perimeter of omposite shpes Perimeter = # m + # m = m + m = 6 m Perimeter = # mm + 0 mm + 6 mm = 7 mm Perimeter = #. m + #.8 m = m Pge questions Perimeter of omposite shpes Perimeter = # mm Perimeter = ^5 #. + # hm = 8 mm = 6. m 8 mm =.8 m 00 m =. km mm =. m ` Perimeter = ^ #. + # 5. hkm ` Perimeter = ^ # # # hm = 66. km =. m Eh new spirl rm inreses y fter eh turn going out (exept for lst vertil rm). Strting t the ot n work own then nti-lokwise on the wy out n then lokwise on the wy k into the entre: = m Totl perimeter of omplete pth = m 0 H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

13 Where oes it work? Solutions Are n Perimeter Pge questions Perimeter of omposite shpes 5 Smllest possile perimeter = 8 units Lrgest possile perimeter = 0 units Try to mke s mny sies s possile touhing eh other, whih reues the numer of sies tht re ounte for the perimeter. Mking eh shpe joine to the other y one sie only, whih inreses the numer of sies tht must ounte for the perimeter. Pge 6 questions Simple wor prolems involving re n perimeter Perimeter = 5 # m = 5 m Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC

14 Where oes it work? Solutions Are n Perimeter Pge 6 questions Simple wor prolems involving re n perimeter Shpe Shpe Perimeter = 0 units Perimeter = 8 units The re of oth shpes is the sme, ut the perimeters re ifferent. This shows tht there is no reltionship etween the re n the perimeter of shpe. Height oftringle = 5#. m = m ` Are of tringle = ^.m # mh'. m =. m Pge 7 questions Simple wor prolems involving re n perimeter m 6 m 8 m m m m 6 m 8 m : Perimeter = m+ 6 m # # = 0 m : Perimeter = # m+ # 6 m = 0 m : Perimeter = m+ m # # = 68 m : Perimeter = m # 8 m = m ` floor pln hs the lrgest perimeter H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

15 Where oes it work? Solutions Are n Perimeter Pge 7 questions Simple wor prolems involving re n perimeter No, floor pln woul not e goo hoie. While it meets the rule of hving the lrgest possile perimeter, it woul e very long n too nrrow for more thn one person to wlk through t time. Numer of stmps tht fitwith =.5 '.5 m Are of stmp =.5 # 5. m = 8.75 m = 5 Numer of stmps tht fitlength =. 5'.5 m Are of envelope =. 5 # 5. m = m ` 06.5 m ' 8.75 m = 5 ` 5 stmps were neee. = 7 ` Tot numer of stmps tht fit = 5 # 7 OR = 5 stmps Pge 8 questions Simple wor prolems involving re n perimeter 5 Length of prllelogrm = # m = 68 m Thereforelengthoffene = # long sie + # short sie = # 68m+ # m = 0 m ` Length of eh sie of the squre re = 0m' = 5m ` Eh sie of the new squre re will e 5 m long. Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC

16 Where oes it work? Solutions Are n Perimeter Pge 8 questions Simple wor prolems involving re n perimeter 5 Prllelogrm re = 68 m # 0 m Squre re = 5 m # 5 m = 00 m = 60m ` The new squre shpe will surroun more re (n extr 56m to e ext! ) 6 Are of eh rik = 8 m # 6 m ` Totlre = 5 # 8 m = 8 m = 00 m ` There will e just enough pint to over the sie of the wll (with 00 m to spre) Perimeter = Brik length # 0 + Hlf riklength # 8+ rik with # 0 = 8 m # 0 + m # 8+ 6m # 0 = 80 m + m + 60 m = 55 m ` The eetle wlke totl istne of 5.5 metres. H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

17 Wht else n you o? Solutions Are n Perimeter Pge 0 questions Rhomus n Kite shpes Are = # ' m Are = # # mm = 68 m =.6 mm Perimeter = # + # 5 m Perimeter = #.6 mm = m =. mm Perimeter = # 9m+ # m Perimeter = 5.m+ #.m+ # 6.5 m = 6 m =.7 m Are = Are of rhomus+ reofkite = ^0 # 6h' + ^ # 6h' = 0m + 68 m = 08 m Pge questions Trpezois Are = 5 + # 9 ' km Are = #.8 ' m = km = 5. m Perimeter = 0 km Perimeter = 7 m Are = ^ h 5 m # ' Are = ^ h#. ' mm = 5 m =. mm Are n Perimeter Solutions Mthletis Pssport P Lerning H SERIES 9 TOPIC 5

18 Wht else n you o? Solutions Are n Perimeter Pge questions Trpezois 70 m =.7 m n 0 m =. m Are = Are + Are = ^. +. h#.7' m + ^ h#.' m = 0. m +. 9 m = 5. 5 m Perimeter =. m+ # 6.7m+ #. m = 7 m Pge questions Are hllenge Here re 0 possile shpes whih ll hve n re of 8 units. There re mny more. 6 H 9 Are n Perimeter Solutions SERIES TOPIC Mthletis Pssport P Lerning

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