On a building plan, the length of one room measures 2,25 cm. Calculate the actual length of the room if the scale of the plan is: a) 1:100 b) 1:250 c) 1:500

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 45E: In Exercises 44 and 45, use the formula from Exercise 43. Similar triangles were used to find h and...
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Topic 7
the
tual
Homework activity 7.1
On a building plan, the length of one room measures 2,25 cm. Calculate the actual length of
the room if the scale of the plan is:
a) 1:100
b) 1:250
1:500
ual
c)
A room measures 4,2 m by 5 m. On the plan, the image of the room measures 2,1 cm by
2.5 cm. What is the scale of the plan? Show your calculations.
The actual dimensions of an electronic tablet is 240 mm x 180 mm. The picture below shows
a scaled-down picture of the tablet.
30 mm
40 mm
a) What is the scale factor of the picture?
Another tablet is to be drawn to scale with a scale factor of 1:8. Using the measurements
b)
given in the picture, calculate the dimensions of the new actual tablet.
c) If the scale factor is 1: 10, calculate the dimensions of a scaled down drawing of the
original tablet.
This is the map of the ground floor of a shopping centre.
The map is drawn to
the scale 1:800. Every
1 cm on the plan
PARKING
0 G1
102
represents 800 cm
(8 m) in real life.
a) If, on the map,
Superstore
Supermarket
measures 3,2 cm
across its width,
how many metres
wide is the store?
clothes store
ATM
PARKING
PARKING
SUPERSTORE
SUPERMARKET
9
b) If A&A
Supermarket is
5,5 cm long on
,how
10
A&A
20/21
23
26
SUPERMARKET
C G2
ATM
ATM
the
map,
many metres is
its length in real
life? Show your
13
19
FASHION
WORTHS
|15
16 4
CENTRE
G3
MANAGEMENT
calculations.
Ground floor
PARKING
Transcribed Image Text:Topic 7 the tual Homework activity 7.1 On a building plan, the length of one room measures 2,25 cm. Calculate the actual length of the room if the scale of the plan is: a) 1:100 b) 1:250 1:500 ual c) A room measures 4,2 m by 5 m. On the plan, the image of the room measures 2,1 cm by 2.5 cm. What is the scale of the plan? Show your calculations. The actual dimensions of an electronic tablet is 240 mm x 180 mm. The picture below shows a scaled-down picture of the tablet. 30 mm 40 mm a) What is the scale factor of the picture? Another tablet is to be drawn to scale with a scale factor of 1:8. Using the measurements b) given in the picture, calculate the dimensions of the new actual tablet. c) If the scale factor is 1: 10, calculate the dimensions of a scaled down drawing of the original tablet. This is the map of the ground floor of a shopping centre. The map is drawn to the scale 1:800. Every 1 cm on the plan PARKING 0 G1 102 represents 800 cm (8 m) in real life. a) If, on the map, Superstore Supermarket measures 3,2 cm across its width, how many metres wide is the store? clothes store ATM PARKING PARKING SUPERSTORE SUPERMARKET 9 b) If A&A Supermarket is 5,5 cm long on ,how 10 A&A 20/21 23 26 SUPERMARKET C G2 ATM ATM the map, many metres is its length in real life? Show your 13 19 FASHION WORTHS |15 16 4 CENTRE G3 MANAGEMENT calculations. Ground floor PARKING
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