Apply Architecture An architect is using the blueprint below
to remodel a laundry room. The side length of each grid
square represents 12 in.
- Find th e actual length an d w idth of th e sink.
- Find th e total length an d w idth of th e actual room.
- Will it be possible to w heel a lau n d ry cart th a t is 3 1 ft
w ide th rough th e room from th e doorw ay at the left to
the doorw ay at th e right?
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Cl o se t )he\ve- Model Rockets A particu lar m odel rocket kit uses th e scale 1:144. The actual
rocket is 168 ft tall. H ow tall will th e m odel rocket be w h en com pleted?
2 3. E rro r A n alys is The two figures at th e right are similar. A stu d en t
uses th e p ro p o rtio n RC ~(j=p^CM to find FN.
a. W hat m istake did th e stu d en t m ake?
b. W hat pro p o rtio n should th e stu d en t have u sed instead? - Think About a Plan An in terio r designer sketches a design for a
rectangular rug. The dim ensions of th e sketch are 4 in. by 7.5 in.
The dim ensions of the actual rug will b e te n tim es th e dim ensions of th e drawing,
so the scale of th e draw ing is 1 :1 0. How m an y tim es th e area of th e sketch is th e
area of th e actual rug?- W hich figures in th e problem are sim ilar? W hat are th eir dim ensions?
- How can p roportions help you find the d im ensions of th e actual rug?
- Trucks A m odel of a tractor-trailer is s h ap e d like a rectangular prism a n d has
a w idth of 2 in., a length of 9 in., an d a height of 4 in. The scale of th e m odel is
1 :3 4. How m any tim es th e volum e of th e m odel is th e volum e of th e actual
tractor-trailer? - Eiffel Tower The h eight of th e Eiffel Tower is 324 m. W hich scale was u sed to m ake
the m odel of the Eiffel Tower show n at th e right?
C O 1 m m : 0.9 m
GD 1 mm : 6 m 54 mm
C O 1 m m : 30 m
C O 1 m m : 324 m - W riting Are all squares similar?
Explain your answer. - Reasoning A b o a t m a k e r w a n te d to
build a canoe 6 ft long an d 2 ^ ft w ide b u t d ecid ed th a t those d im ensions w ere too
small. The b o at m aker w ants to a d d 2 ft to b o th th e length a n d th e w idth b u t also
w ants to keep th e canoe th e sam e shape. Explain w hy this will n o t work.
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PowerAlgebra.com | Lesson 2-8 Proportions and Similar Figures^135