A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of
1 unit:5 feet. What are the dimensions of the scale drawing?
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120 ft * (1 unit/ft) = 120 units
75 ft * (1 unit/ft) = 75 units
To find the dimensions of the scale drawing, we need to divide the actual dimensions of the game room by the scale factor.
The actual dimensions of the game room are given as 120 feet by 75 feet.
The scale factor is given as 1 unit:5 feet. This means that 1 unit on the scale drawing represents 5 feet in reality.
To find the length of 1 unit on the scale drawing, we divide the actual length of the room by the scale factor:
Length of 1 unit = Actual length / Scale factor
Length of 1 unit = 120 feet / 5 feet = 24 feet
Similarly, to find the width of 1 unit on the scale drawing:
Width of 1 unit = Actual width / Scale factor
Width of 1 unit = 75 feet / 5 feet = 15 feet
Therefore, the dimensions of the scale drawing are 24 feet by 15 feet.