Ruth makes a scale drawing of her room. She uses scale 3/2 in. : 1ft. In the drawing the dimensions are 18 in by 24 in. What are actual dimensions of room.
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To find the actual dimensions of the room, we need to use the given scale and the dimensions in the scale drawing.
The scale of the drawing is 3/2 in. : 1 ft. This means that every 3/2 inches in the drawing represents 1 foot in the actual room.
In the scale drawing, the dimensions are given as 18 in by 24 in. So, using the scale, we can find the actual dimensions of the room.
First, we convert the dimensions in the drawing to feet:
Length: 18 in ÷ 3/2 in/ft = 18 in × 2/3 in/ft = 12 ft
Width: 24 in ÷ 3/2 in/ft = 24 in × 2/3 in/ft = 16 ft
Therefore, the actual dimensions of Ruth's room are 12 ft by 16 ft.