A scale drawing of Jade's living room is shown below:
width = 4 cm
- length = 6 cm-
If each 2 cm on the scale drawing equals 6 feet, what are the actual dimensions of the room? (1 point)
Length = 12 feet, width = 8 feet
Length = 9 feet, width = 7 feet
Length = 18 feet, width = 12 feet
Length = 14 feet, width = 12 feet
To find the actual dimensions of Jade's living room, we need to use the given scale and the measurements from the scale drawing.
According to the scale, each 2 cm on the scale drawing represents 6 feet in real life.
From the scale drawing, we are given that the width is 4 cm and the length is 6 cm.
First, let's find the actual width:
Since each 2 cm on the scale drawing represents 6 feet, we can set up a proportion to find the actual width:
2 cm / 6 feet = 4 cm / x feet
Solving for x, we get:
2 cm * x feet = 6 feet * 4 cm
2x = 24
x = 12
So, the actual width of Jade's living room is 12 feet.
Next, let's find the actual length:
Using the same proportion as before, but with the length measurement:
2 cm / 6 feet = 6 cm / x feet
Solving for x, we get:
2 cm * x feet = 6 feet * 6 cm
2x = 36
x = 18
So, the actual length of Jade's living room is 18 feet.
Therefore, the actual dimensions of the room are:
Length = 18 feet, width = 12 feet.