The floor plan of a ballroom is shown at right. The scale is 3 centimeters : 4 meters.
1 answer:
Given:
scale: 3 cm : 4 m
Length 12 cm
Width 9 cm
We 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 = 16 m * 12 m
Area = 192m²
Area in cm: 12 cm * 9 cm
Area in cm: 108 cm²
cm : m ⇒ ratio format
ratio: a:b = c:d where ad = bc
108 : 192 = 12² : 16²
108 : 192 = 144 : 256
a = 108 ; b = 192 ; c = 144 ; d = 256
108 * 256 = 192 * 144
27,648 = 27,648
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