Question

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?

Answer 1

For every 5 feet, the scale drawing is 1 unit.  So we divide the dimensions by 5 to get the dimensions of the scale drawing.

120/5 = 24

1:5 = x:120  There are 24 5's in 120 so the new ratio is 24:120

75/5 = 15

1:5 = x:75  There are 15 5's in 75 so the new ratio is 15:75

The dimensions of the scale drawing is 24 units by 15 units.