Ms. Johnson is drawing a floor plan of her square room that has an area of 100ft squared
. She is using the scale of 0.5 inch =2 ft. What is the length of her room on the floor plan?
Responses
A 10 inches10 inches
B 20 inches20 inches
C 2.5 inches2.5 inches
D 5 inches
To find the length of her room on the floor plan, we first need to find the actual length of the room.
The area of the square room is 100ft squared, so the sides of the square are both √100 = 10 ft long.
If 0.5 inch on the floor plan represents 2 ft in reality, we can set up a proportion to find the length on the floor plan:
10 ft = x inches
2 ft 0.5 inches
10/2 = x/0.5
5 = x/0.5
x = 5*0.5
x = 2.5 inches
Therefore, the length of her room on the floor plan is 2.5 inches.
The correct answer is C) 2.5 inches.