Answer:
Length of the garden: 95 m
Width of the window: 86 cm
Step-by-step explanation:
Part A:
We can use the equation for area to find the length of the garden.

If we simply divide both sides of the equation by width, we will be solving for lenght:

Now, plug in the known values for the area and width of the garden:


Part B:
This time, we'll have to use the equation for perimeter:
![Perimeter = [2(Width)]+[2(Length)]](https://tex.z-dn.net/?f=Perimeter%20%3D%20%5B2%28Width%29%5D%2B%5B2%28Length%29%5D)
Because we want to know the width, and already know the perimeter and length we can once again use algebra to solve for the width:
![Perimeter-[2(Length)] = 2(Width)\\\frac{Perimeter-[2(Length)]}{2} =Width](https://tex.z-dn.net/?f=Perimeter-%5B2%28Length%29%5D%20%3D%202%28Width%29%5C%5C%5Cfrac%7BPerimeter-%5B2%28Length%29%5D%7D%7B2%7D%20%3DWidth)
Now, simply plug in the values for the perimeter and the length and solve:
![\frac{370-[2(99)]}{2} =Width\\\\\frac{370-198}{2} =Width\\\\\frac{172}{2}=Width\\\\86=Width](https://tex.z-dn.net/?f=%5Cfrac%7B370-%5B2%2899%29%5D%7D%7B2%7D%20%3DWidth%5C%5C%5C%5C%5Cfrac%7B370-198%7D%7B2%7D%20%3DWidth%5C%5C%5C%5C%5Cfrac%7B172%7D%7B2%7D%3DWidth%5C%5C%5C%5C86%3DWidth)
Therefore, the width of the window is 86 cm.