What is scale of drawing?

Question

A scale drawing of a rectangular field is 10 centimeters by 8.5 centimeters. If the actual field has dimensions of 40 meters by 34 meters which coulb be the scale used for the drawing?

 

Answer 1

Scales are used in drawings to represent proportional sizes of the actual product being built.  This is because there is limited space on paper to draw in actual size of what needs to be built.  Scales are often utilized in architectural and construction projects.

 

 

Since we have different units, we must convert.  We will convert meters to centimeters.

 

1 m = 100 cm

 

 

Let scale drawing of length = 10 cm

Let scale drawing of width = 8.5 cm

 

Let actual length = 40 m = 4000 cm

Let actual width = 34 m = 3400 cm

 

 

Next will take the ratios of length and width to find the scale for the drawing.

 

Ratio of length = 4000 cm / 10 cm = 40 cm

Ratios of width = 3400 cm / 8.5 cm = 400 cm

 

 

The scale that could be used for the drawing is  40 cm by 400 cm.

Answer 2

The rectangle is 10cm by 8.5 centimeters in the drawing. The actual field is 40m by 34m.

 

100cm = 1m

 

so you could say that the drawing is .1m by .085m and the actual field is 40m by 34m

or

the drawing is 10cm by 8.5cm and the field is 4000cm by 3400cm...

(to get into the same unit). gotten by dividing the cm by 100 or multiplying the m by 100.

 

Therefore, 4000/10 = 400 and 3400/8.5 = 400 or .1/40 = 1/400 and .085/34 = 1/400

 

This means the drawing is 1/400th the scale of the actual field OR the drawing represents 400cm per cm.

 

1cm on drawing = 400cm in actuality