Answer:
4.5 m
Step-by-step explanation:
The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:
[tex]\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.[/tex]
Then you can find the length of the corresponding side:
[tex]\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.[/tex]
