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.
[tex]Area = Width * Length[/tex]
If we simply divide both sides of the equation by width, we will be solving for lenght:
[tex]\frac{Area}{Width} = Length[/tex]
Now, plug in the known values for the area and width of the garden:
[tex]\frac{6460}{68}=Length[/tex]
[tex]95=Length[/tex]
Part B:
This time, we'll have to use the equation for perimeter:
[tex]Perimeter = [2(Width)]+[2(Length)][/tex]
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:
[tex]Perimeter-[2(Length)] = 2(Width)\\\frac{Perimeter-[2(Length)]}{2} =Width[/tex]
Now, simply plug in the values for the perimeter and the length and solve:
[tex]\frac{370-[2(99)]}{2} =Width\\\\\frac{370-198}{2} =Width\\\\\frac{172}{2}=Width\\\\86=Width[/tex]
Therefore, the width of the window is 86 cm.
