Respuesta :
Original Ratio of 1 in = 7 ft so 3 in = 21 ft
Now, New ratio 1 in = x ft so 3 in = 27ft
1/x = 3/27
cross multiply a/b = c/d ad = bc
1/x = 3/27
3x = 27
x = 9
1 in represents 9 ft
Now, New ratio 1 in = x ft so 3 in = 27ft
1/x = 3/27
cross multiply a/b = c/d ad = bc
1/x = 3/27
3x = 27
x = 9
1 in represents 9 ft
The unit is converted in new scale as 1 inch is equal to 9 feet.
What is unit conversion?
Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.
For the given situation,
A rectangular sidewalk has a length = 21 feet
Scale factor, 1 inch = 7 feet.
So, 21 feet = [tex]\frac{21}{7}[/tex]
⇒ [tex]3[/tex] inches
The length of the actual side walk changes to 27 feet.
The length of actual side walk in inches = 3 inches.
Now, 1 inch = [tex]\frac{27}{3}[/tex]
⇒ [tex]1 inch = 9 feet[/tex]
Hence we can conclude that the unit is converted in new scale as 1 inch is equal to 9 feet.
Learn more about unit conversion here
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