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Answer :
For a rectangle model of park, the ratio of length of rectangle model to the sum of the length and width in inches is equals to the 8:21. So, option(A) is right one.
We have an architect builds a model of a park in the shape of a rectangle. The dimensions are defined as
The length of rectangle model of park
= 40.64 centimeters
Width of rectangle model = 66.04 cm
There is one inch equals to the 2.54 centimeters. We have to determine the ratio of the length to the sum of the length and width in inches. Using the unit conversion, one inch = 2.54 centimeters
=> 1 cm = 1/2.54 inches
So, length of model in inches = [tex] \frac{1}{2.54} × 40.64 [/tex] = 16 inches
Width of rectangle model in inches = [tex] \frac{1}{2.54} ×66.04[/tex] = 26 inches
Now, the sum of length and width inches = 16 + 26 = 42 inches
The ratio of length to the sum of length and width in inches = 16 : 42
=> [tex] \frac{16}{42}[/tex]
= [tex] \frac{8}{21}[/tex]
Hence, required value is 8:21.
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