Question

A game room has a floor that is 225 feet by 30 feet. A scale drawing of the floor on grid paper uses a scale of 2 units:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.

Answer 1

The dimensions of the scale drawing for the game room, which measures 225 feet by 30 feet using a scale of 2 units:5 feet, are 90 units by 12 units.

Step-by-step explanation:

The student is asking about creating a scale drawing for a game room with actual dimensions of 225 feet by 30 feet, using a scale of 2 units:5 feet.

To find the dimensions of the scale drawing, we can set up ratios comparing the scale units to actual feet. The scale given is 2 units:5 feet, which can be written as a ratio 2/5. To find the length and width on the scale drawing, divide the actual dimensions by the 'feet' side of the ratio and then multiply by the 'units' side.

For length: (225 feet) ÷ (5 feet) × (2 units) = 90 units
For width: (30 feet) ÷ (5 feet) × (2 units) = 12 units

The dimensions of the scale drawing are 90 units by 12 units.

Answer 2

The answer is 112.5 by 15


I hope this helps :)