Answer:
![(1)/(2.5)\ (cm)/(m)=(12)/(x)\ (cm)/(m)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2xll0ss96amcjcw1oei0hjhkft8lrpclwp.png)
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction
Explanation:
The complete question is
Eveline made a scale drawing of a patio she is planning to build.
1 centimeter = 2.5 meters. Triangle A B C. Side A is 12 centimeters, side B is 5 centimeters, and side C is 13 centimeters.
Which proportion could Eveline use to find the length of side A?
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction
StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction
StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction
The picture of the question in the attached figure
we know that
The scale drawing is
![(1)/(2.5)\ (cm)/(m)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3mdz60jye8kpep8b6qlmd1b7lcvv20q0dj.png)
That means
1 cm in the drawing represent 2.5 m in the actual
using proportion
Find out the actual length of side A if in the drawing the length is 12 cm
![(1)/(2.5)\ (cm)/(m)=(12)/(x)\ (cm)/(m)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2xll0ss96amcjcw1oei0hjhkft8lrpclwp.png)
solve for x
![x=12(2.5)\\x=30\ m](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b39b6275lrjhycr3izgclrmhxlgmzokamw.png)
The length of side A is 30 meters