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13. The perimeter P (in yards) of a soccer field is represented by the formula P = 24 + 2w,

where & is the length (in yards) and w is the width (in yards).

a. Solve the formula for w.

P= 330 yd

b. Find the width of the field.

c. About what percent of the field

is inside the circle?

doc

10 yd

- 100 yd

Respuesta :

MrRoyal

Answer:

[tex]w = \frac{1}{2}(P - 24)[/tex]

[tex]w = 153\ yards[/tex]

Step-by-step explanation:

Given

[tex]P = 24 + 2w[/tex]

Require

Solving (a):

[tex]P = 24 + 2w[/tex]

Subtract 24 from both sides

[tex]P-24 = 24-24 + 2w[/tex]

[tex]P-24 = 2w[/tex]

Divide both sides by 2

[tex]\frac{1}{2}(P - 24) = \frac{2w}{2}[/tex]

[tex]\frac{1}{2}(P - 24) = w[/tex]

[tex]w = \frac{1}{2}(P - 24)[/tex]

Solving (b):

Substitute 330 for P un the expression in (1)

[tex]w = \frac{1}{2}(330 - 24)[/tex]

Evaluate the bracket

[tex]w = \frac{1}{2}(306)[/tex]

[tex]w = 153\ yards[/tex]

Question c; seem irrelevant

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