The dimensions of a rectangular floor are 18 ft by 14 ft. A student drew a scale drawing of the floor. The longer dimension of the scale drawing is 9 in. What is the shorter dimension of the scale drawing?
To find the scale of the drawing, we can set up a proportion using the actual dimensions and the dimensions in the drawing.
Let x represent the shorter dimension of the scale drawing.
18 ft corresponds to 9 in and 14 ft corresponds to x.
So, we can set up the following proportion:
18/14 = 9/x
Cross multiply to solve for x:
18x = 126
x = 7 in
Therefore, the shorter dimension of the scale drawing is 7 inches.