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You are preparing a community garden with your youth group to have enough room for the spots for all the people who already signed up the length of the garden needs to be 22 feet longer than the width of the garden the perimeter of the fence along the land you're using is a total of 324 feet what will the length be in with Beof your garden

Respuesta :

Answer:

92 feet.

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

Let width = [tex]x[/tex]

Then, length will be = [tex]x+22[/tex]

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = [tex]2(length+width)[/tex]

[tex]324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\[/tex]

Subtracting both sides by 44

[tex]324-44=4x+44-44\\280=4x\\[/tex]

Dividing both sides by 4

[tex]70=x[/tex]

Width = [tex]x[/tex] = 70 feet

Then, length will be = [tex]x+22[/tex] = 70 + 22 = 92 feet

Therefore, the length of the garden will be 92 feet.