A room measures 3 m by 5 m. A scale drawing is to be made, using a scale of 1 cm=0.5.
Find the dimensions of the scale drawing and provide sketch of this room drawn to scale.
1 cm = 0.5 meters?
You could use proportions.
1/0.5 = x / 3
0.5x = 3
x = 3/0.5
x = 6 cm
Do the same for the other measurement.
To find the dimensions of the scale drawing and create a sketch, we can use the given scale of 1 cm = 0.5 m.
To determine the dimensions of the scale drawing, we need to convert the actual dimensions of the room to the equivalent values in the scale drawing.
Given:
Actual width of the room = 3 m
Actual length of the room = 5 m
Scale: 1 cm = 0.5 m
To convert the width to the scale drawing:
Scale width = Actual width / Scale factor
Scale width = 3 m / 0.5
Scale width = 6 cm
To convert the length to the scale drawing:
Scale length = Actual length / Scale factor
Scale length = 5 m / 0.5
Scale length = 10 cm
Therefore, the dimensions of the scale drawing are 6 cm by 10 cm.
Now, let's create a sketch of the room drawn to scale using these dimensions:
[Sketch]
In your sketch, draw a rectangle measuring 6 cm by 10 cm to represent the room. Make sure the width and length are proportional to the actual dimensions of the room.