The floor plan of a ballroom is shown at right. The scale is 3 centimeters : 4 meters. What are the length and width of the ballroom? Find the ballroom's area.

(the right is 12 cm as length and 9 cm as the width)

Area is 108 cm^2

Area is 192 m^2

Length is 16m

Width is 12m

You need to convert cm to m

length: (12cm/3cm) * (4m) = 4 * 4m = 16 meters

width: (9cm/3cm) * (4m) = 3 * 4m = 12 meters

Area = length * width

Area = 16m * 12m

Area: 192m^2, which is meters squared.

Area in cm: 12 cm * 9 cm

Area in cm: 108 cm

To verify:

The centemeter to meter ratio format is a:b and c:d

where

ad = bc

108 : 192 and 12^2 : 16^2

108 : 192 and 144 : 256

Where:

a = 108

b = 192

c = 144

d = 256

108 * 256 = 192 * 144

27,648 - 27,648

So the answer checks out!