Answer:
16 feet is the correct answer to this problem.
Hope this helps
Answer :
Percentage increase = (279 - 180)/180 x 100% = 55%
The length and width of the new scale drawing is 36 inches and 24 inches respectively.
The given parameters:
- <em>Original scale of the soccer field, 1 inch : 12 yards</em>
The original length and width of the soccer field is calculated as follows;
1 inch : 12 yards
- original width = 6 x 12 yards = 72 yards
- original length = 9 x 12 = 108 yards
For the new scale of 1 inch : 3 yards, the new length and width are represented as;
<em>the </em><em>new width</em><em>:</em>
![\frac{1 \ inch}{x} = \frac{3 \ yards}{72 \ yards} \\\\x = 24 \ inches](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%5C%20inch%7D%7Bx%7D%20%3D%20%5Cfrac%7B3%20%5C%20yards%7D%7B72%20%5C%20yards%7D%20%5C%5C%5C%5Cx%20%3D%2024%20%5C%20inches)
<em>the </em><em>new length</em><em>:</em>
![\frac{1 \ inch}{x} = \frac{3 \ yards}{108 \ yards} \\\\x = 36\ inches](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%5C%20inch%7D%7Bx%7D%20%3D%20%5Cfrac%7B3%20%5C%20yards%7D%7B108%20%5C%20yards%7D%20%5C%5C%5C%5Cx%20%3D%2036%5C%20inches)
Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.
Learn more about scale drawing here: