Respuesta :
35 cm : 87.5 ft
1 cm : x
cross multiplying
35 cm X = 1 cm x 87.5 ft
x= 87.5 ft. cm /35 cm
x = 2.5 ft
therefore, the scale is 1 cm : 2.5 ft
1 cm : x
cross multiplying
35 cm X = 1 cm x 87.5 ft
x= 87.5 ft. cm /35 cm
x = 2.5 ft
therefore, the scale is 1 cm : 2.5 ft
Using proportions, it is found that the scale of the drawing is of 1 ft:0.4 cm.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that 35 cm represent 87.5 ft. How many cm represent a ft?
The rule of three is given by:
35 cm - 87 ft
x cm - 1 ft
Applying cross multiplication:
[tex]87x = 35[/tex]
[tex]x = \frac{35}{87}[/tex]
[tex]x = 0.4[/tex]
Hence, the scale of the drawing is of 1 ft:0.4 cm.
More can be learned about proportions at https://brainly.com/question/24372153
