Algebra 1 Common Core Student Edition, Grade 8-9

0 Challenge 29. Carpentry A c a rp en ter is building a tabletop from a sketch. The sketch shows a

parallelogram w ith side lengths 2 in. a n d 3 in. Also, th e sketch specifies th a t the

sides of th e finished tabletop should b e 4 ft an d 6 ft. Can th e ca rp en ter be certain

th a t the finished tabletop will be a sim ilar parallelogram? Explain.

30. Painting You have a painting th at is 30 in. w ide an d 22.5 in. tall. You w ould like
    to reproduce it on a sh eet of p ap e r th a t m easures 8 \ in. by 11 in., leaving at least a
    1 -in. m argin on all four sides.
    a. W hat scale should you use if you keep th e sh eet of p a p e r in th e n o rm al upright
    orientation? Assum e th a t th e re p ro d u ctio n will be as large as possible.
    b. W hat scale should you use if you tu rn th e p ap e r on its side?

Apply What You've Learned

Look back at th e inform ation a b o u t th e m onorail o n page 79. The scale draw ing

of the m onorail route is show n again below.

Airport Monorail Route

MAIHEMATICAL

PRACTICES

MP4

Parking garage Terminal ATerminal BTrain station^

36 in.

Sc a l e : 3 i n. = 5 0 0 f t

a. Write a p ro p o rtio n th at you can use to find th e total distance th e m onorail travels

from th e parking garage to th e train station.

b. D eterm ine th e total distance th e m onorail travels from th e parking garage to the

train station. Explain how you know th a t your answ er is reasonable.

c. W hat is th e distance th e m onorail travels from Term inal B to th e train station?

Find th e length th a t represents this distance in th e scale draw ing on th e airport's

inform ation board.

136 Ch ap t er 2 So lvin g Eq u at i o n s