Answer:
Length of the garden: 95 m
Width of the window: 86 cm
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://img.qammunity.org/2023/formulas/mathematics/high-school/lalv63ckj2xn9dc4qhqcvdsgyg6wf8ojer.png)
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)\\(Perimeter-[2(Length)])/(2) =Width](https://img.qammunity.org/2023/formulas/mathematics/high-school/e1nt5r6wigmpc21z78c7o180girmru0gug.png)
Now, simply plug in the values for the perimeter and the length and solve:
![(370-[2(99)])/(2) =Width\\\\(370-198)/(2) =Width\\\\(172)/(2)=Width\\\\86=Width](https://img.qammunity.org/2023/formulas/mathematics/high-school/8kozs26vvj8gk6ga8o5fffdnfam5hr4ubz.png)
Therefore, the width of the window is 86 cm.