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Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new walls need to be 1 built . The total length of the two new walls must be 12 m.
Martin wants the length of the closet to be twice as long as the width, as shown in the diagram.
b) Let the function f(l) be the sum of the length and the width. Find the equation for f(1).
c) Graph y = f(l).
d) Find the desired length and width. ile riding a
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Respuesta :

MrRoyal

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

  • The equation for f(l) is: [tex]f(l) = 1.5l[/tex].
  • The desired length and width are 8m and 4m

Given that:

[tex]l = 2w[/tex]

Divide both sides by 2

[tex]w = 0.5l[/tex]

Equation of f(l)

The sum of the length and the width is represented as: f(l).

So, we have:

[tex]f(l) = l + w[/tex]

Substitute [tex]w = 0.5l[/tex]

[tex]f(l) = l + 0.5l[/tex]

[tex]f(l) = 1.5l[/tex]

See attachment for the graph of f(l)

The desired dimension

From the question, we understand that the total length is 12m.

This means that:

[tex]f(l) = 12[/tex]

So, we have:

[tex]1.5l = 12[/tex]

Divide both sides by 1.5

[tex]l = 8[/tex]

Recall that:

[tex]w = 0.5l[/tex]

[tex]w = 0.5 \times 8[/tex]

[tex]w = 4[/tex]

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

https://brainly.com/question/2263981

Ver imagen MrRoyal

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