# Scale Models and Maps

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```					COURSE 3 LESSON 5-7

Scale Models and Maps

On a blueprint, the living room is 4 in. by 3 in. The scale is
1 in. = 8 ft. What are the length and width of the actual living room?
2

First, find the actual length of the living room.

Let     = the actual length of the living room.

1
blueprint measure (in.)     2   4         blueprint length (in.)
actual measure (ft)
=             actual length (ft)
8

5-7
COURSE 3 LESSON 5-7

Scale Models and Maps
(continued)

1
•         =8•4           Write the cross
2
products.
1                       Simplify.
= 32
2
1
2         32            Divide each side
=
1         1                 1
by .
2         2                  2

= 64               Simplify.

5-7
COURSE 3 LESSON 5-7

Scale Models and Maps

(continued)

The length of the actual room is 64 ft.
Next, find the actual width of the living room.
Let w = the actual width of the living room.
1
blueprint measure (in.)     2   3         blueprint length (in.)
actual measure (ft)
=             actual length (ft)
8   w

5-7
COURSE 3 LESSON 5-7

Scale Models and Maps

(continued)

1
• w=8•3              Write the cross
2
products.

1                      Simplify.
w = 24
2
1w
2    24                Divide each side
=
1    1                     1
by .
2    2                     2

w = 48               Simplify.

The width of the actual room is 48 ft.

5-7
COURSE 3 LESSON 5-7
Scale Models and Maps

The map distance from El Paso, Texas, to Chihuahua,
Mexico, measures about 7.5 cm. The scale is 1 cm = 50 km. Find the
actual distance using a proportion.

Let x = the actual distance.
map (cm)           1   7.5          map (cm)
actual measure (km)
= x          actual (km)
50

1 • x = 50 • 7.5      Write the cross products.

x = 375           Simplify.

The distance from El Paso to Chihuahua is 375 km.

5-7
COURSE 3 LESSON 5-7

Scale Models and Maps

1. A 6-ft man is designing a new chair that would make him feel like a 2.5-ft
child. The seat of a normal chair is 1.5 ft high. How high should he make
the seat in his new chair?
3.6 ft

2. A map scale shows 4 cm to represent 6 km. Two intersections measure
1 cm apart on the map. What is the actual distance?
1.5 km

5-7

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