Respuesta :

9.5
If you add 12.4 plus 12.4 you get 24.8 then you do 43.8 minus 24.8 and you get 19 and 19 divided by 2 is 9.5
9.5+9.5+12.4+12.4=43.8

The width of the rectangular garden is 9.5 feet

From the question,

We are to determine the width of a rectangular garden whose perimeter is 43.8 feet and length is 12.4 feet

We will use the formula for calculating the perimeter of a rectangle

[tex]P = 2(l + w)[/tex]

Where [tex]P[/tex] is the perimeter

[tex]l[/tex] is the length

and  [tex]w[/tex]is the width

From the question

[tex]P = 43.8\ feet[/tex]

[tex]l = 12.4 \ feet[/tex]

Now, we will put the above parameters into the formula to determine w

That is

[tex]P = 2(l + w)[/tex] becomes

[tex]43.8 = 2( 12.4 + w)[/tex]

Then,

[tex]43.8 = 24.8 + 2w[/tex]

[tex]2w = 43.8 - 24.8[/tex]

[tex]2w = 19[/tex]

Now, divide both sides by 2

[tex]\frac{2w}{2}=\frac{19}{2}[/tex]

w = 9.5 feet

Hence, the width of the rectangular garden is 9.5 feet

Learn more here: https://brainly.com/question/1837497

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