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Question
a blueprint of a building shows the building is 12 cm high. the scale notation of the building shows the scale is 1 cm: 3.5 ft. what is the height of the actual building? 42 cm 42 ft. 12 cm 12 ft.
Step1: Identify the scale - factor relationship
The scale is 1 cm : 3.5 ft, which means for every 1 cm on the blueprint, the actual length is 3.5 ft.
Step2: Calculate the actual height
The blueprint height is 12 cm. Multiply the blueprint height by the scale - factor. So the actual height $h$ is $h=12\times3.5$ ft.
$h = 42$ ft.
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42 ft.