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Sagot :

Answer:

a. 95

b. 86

Step-by-step explanation:

Since you need it quick, no explanation for now.

supersciencestudy

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.

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