A stand which measures(10 by 20) metres on ground is drawn at a scale of 1:50.What is the length and width of the house on the drawing
Suppose the scale is reduced by 40%, what is the new scale
If the stand measures 10 by 20 metres on the ground and is drawn at a scale of 1:50, the length on the drawing would be 10/50 = <<10/50=0.2>>0.2 metres.
The width on the drawing would be 20/50 = <<20/50=0.4>>0.4 metres.
If the scale is reduced by 40%, the new scale would be 100% - 40% = 60% of the original scale.
Therefore, the new scale would be 0.6 * 1:50 = 0.6:50.
To find the length and width of the house on the drawing, we need to scale down the actual measurements by the given scale of 1:50.
Given:
Actual length of the stand = 10 metres
Actual width of the stand = 20 metres
Scale of 1:50 means that 1 unit on the drawing represents 50 units in real life.
To find the length on the drawing:
Length on the drawing = Actual length / Scale
Length on the drawing = 10 metres / 50
Length on the drawing = 0.2 metres
To find the width on the drawing:
Width on the drawing = Actual width / Scale
Width on the drawing = 20 metres / 50
Width on the drawing = 0.4 metres
Therefore, the length of the house on the drawing is 0.2 metres and the width is 0.4 metres.
To calculate the new scale after reducing it by 40%, we need to subtract 40% from the previous scale of 1:50.
Given:
Previous scale = 1:50
To reduce the scale by 40%, we multiply the previous scale by (100% - 40%) = 60%.
New scale = Previous scale x (60%)
New scale = 1:50 x (60%)
New scale = 0.6:50
Therefore, the new scale is 0.6:50 or simplified as 3:25.
To determine the length and width of the house on the drawing, we need to use the scale factor of 1:50.
Given that the stand on the ground is 10 by 20 meters, we can calculate the dimensions on the drawing as follows:
Length on drawing = Length on ground / Scale factor
Width on drawing = Width on ground / Scale factor
Therefore,
Length on drawing = 10 meters / 50 = 0.2 meters
Width on drawing = 20 meters / 50 = 0.4 meters
So, the length and width of the house on the drawing are 0.2 meters and 0.4 meters, respectively.
Now, let's calculate the new scale when it is reduced by 40%.
To find the new scale, we use the formula:
New scale = 100% - 40% = 60%
Therefore, the new scale is 1:60.