a game room has a floor that is 100 feet by 200 feet. A scale drawing of the floor on grid paper uses a scale of 4 units:5 feet. What are the dimensions of the scale drawing? Enter your answer as a length by width.
To find the dimensions of the scale drawing, we need to convert the floor dimensions from feet to units according to the given scale.
Given:
Floor dimensions: 100 feet by 200 feet
Scale: 4 units:5 feet
To convert from feet to units, we can set up the following proportion:
4 units / 5 feet = x units / 100 feet
Cross-multiplying, we get:
(4 units) * (100 feet) = (5 feet) * (x units)
400 units = 5x units
x = 80 units
Similarly, to find the width of the scale drawing, we can use the same proportion:
4 units / 5 feet = y units / 200 feet
Cross-multiplying, we get:
(4 units) * (200 feet) = (5 feet) * (y units)
800 units = 5y units
y = 160 units
Therefore, the dimensions of the scale drawing are 80 units by 160 units.
answer-80 x 16
Bcuz
4 x 4 x
---- = ---- ----- = -----
5 100 5 20
400 / 5 = 80 80 / 5 = 16