Chuanxi planned a rectangular sidewalk with a length of 21 ft. He made a scale drawing using a scale factor of 1 in. = 7 ft. He decided to change the length of the actual sidewalk to 27 ft. If the scale drawing still has a length of 3 in., what does 1 in. represent in the new scale?

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

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KarpaT KarpaT · Answer 2 · 2022-05-24T16:08:54+02:00

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.

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