Geo_Book_Answers

Answers to Exercises
CHAPTER 11 REVIEW
1. x 24 2. x 66
3. x 6 4. x 17
5. 6 cm; 4.5 cm; 7.5 cm; 3 cm
6. 4 1
6
cm; 71
2
cm 7. 13 ft 2 in.
8. It would still be a 20° angle.
9.
K P
L
10. Yes. If two triangles are congruent, then
corresponding angles are congruent and
corresponding sides are proportional with ratio
1 , 1 so the triangles are similar.
11. 15 m 12. 4 gal; 8 times
13. Possible answer: You would measure the
height and weight of the real clothespin and the
height of the sculpture.
Wsculpture
W clothespin
Hsculpture
Hclothespin
3
If you don’t know the height of the sculpture, you
could estimate it from this photo by setting up a
ratio, for example,
Hperso
n Hsculpture
Hp
Hsc
erson’
s photo
ulpture’s
photo
134 ANSWERS TO EXERCISES
14. 9:49
15. 5 25
; 1
4 64
16. $266.67
17. 640 cm3 18. 32; 24; 40; 126
19. 841 coconuts
20a. 1 to
4 to 1
2 ,or 4 to to 2
20b. 3 to 2 to 1
20c. Answers will vary.
21. Possible answer: If food is proportional to
1
body volume, then 8000
of the usual amount of food
is required. If clothing is proportional to surface
1
area, then 400
of the usual amount of clothing is
required. It would take 20 times longer to walk a
given distance.
22. The ice cubes would melt faster because they
have greater surface area.