Answer:
30 meters
Step-by-step explanation:
Since Figures A and B are similar, corresponding sides are in proportion.
Let the missing side length in Figure B be [tex]x[/tex].
The ratio of perimeters is equal to the ratio of corresponding side lengths in similar figures.
The perimeter ratio is given by:
[tex] \Large\boxed{\boxed{\dfrac{\textsf{Perimeter of Figure B}}{\textsf{Perimeter of Figure A}} = \dfrac{120}{72}}}[/tex]
The ratio of corresponding side lengths is also [tex]x[/tex] to [tex]18[/tex] (the given side length in Figure A). Therefore:
[tex]\dfrac{x}{18} = \dfrac{120}{72}[/tex]
Now, solve for [tex]x[/tex] by criss cross multiplication.
[tex]x = 18 \times \dfrac{120}{72}[/tex]
[tex]x = 30[/tex]
So, the missing corresponding side length in Figure B is:
[tex] \Large\boxed{\boxed{ 30\textsf{meters}}}[/tex]
