Teacher's Guide - Pearson

3. a) _____ 11 000 ​b) _____ 11 000 ​4. a) The length and the width must each increase by a factor ​√ _____1.21 ​ 5 1.1.So, width 5 27.5 m; length 5 35.2 mProject (Student’s Book page 221)1. 960 000 ha.32. ​ ____178 ​3. 150 000 3 1.045 5 156 7504. 1 003 2005. Percentage increase in land over five years is 1.0456. 4.5%7. It is not sustainable, as the elephants will be taking all the land in a few years tocome. Elephants will have to be reduced, for example, relocated.Revision Exercise (Student’s Book page 222)1. a) 5__2 ​; ___ ​ 254 ​b) halve; be a quarter of the original.c) 4; 4d) 3:2; 9:42. a) 4 cmb) Area ABC 5 ​1__2 ​ 3 4 3 3 5 6 cm2c) ____ 12.5 ​ 5 ____ ​ 12 6.25 ​d) Area DEF 5 Area ABC 3 6.255 6 3 6.255 37.5 cm 2e) DE 5 2.5 3 3 5 7.5 cmEF 5 2.5 3 4 5 10 cmDF 5 2.5 3 5 5 12.5 cmArea DEF 5 ​1__ ​ 3 10 3 7.5 5 37.5 cm223. a) Shaded area 5 18 3 20 2 π 3 9 25 105.5 m 2π 3 9b) Ratio 5​ ______2105.5 ​ 5 _____ ​ 254.5105.5 ​ 5 ____ ​ 509211 ​ 5 ___ ​ 2.41 ​c) Shaded area 5 ​1__ ​ 3 105.5 5 26.4 m24Ratio 5​ _______ π 3 4.5 2​ 5 ___ ​ 2.426.4 1 ​70 EXPLORING MATHEMATICS FORM 3