Mathematics

Question

the area A of a rectangle parking lot is given by the equation A=16s^2+25. jacob knows the area of the parking lot and wants to find s. Solve A=16s^2+25 for s

2 Answer

  • Answer:

    s = sqrt(A - 25)/4

    Step-by-step explanation:

    A = 16s^2 + 25

    Switch sides.

    16s^2 + 25 = A

    Subtract 25 from both sides.

    16s^2 = A - 25

    Divide both sides by 16

    s^2 = (A - 25)/16

    Take the square root of each side.

    s = sqrt[(A - 25)/16]

    s = sqrt(A - 25)/4

  • Answer:

    The required form in terms of A the value of s is [tex]s=\sqrt{\frac{A-25}{16}}[/tex]

    Step-by-step explanation:

    Given : The area A of a rectangle parking lot is given by the equation[tex]A=16s^2+25[/tex]. Jacob knows the area of the parking lot.

    To find : Solve [tex]A=16s^2+25[/tex] for s?

    Solution :

    The area A of a rectangle parking lot is given by the equation

    [tex]A=16s^2+25[/tex]

    To solve the given expression for s, we have to separate the s and take it to one side.

    Subtract 25 from both side,

    [tex]A-25=16s^2+25-25[/tex]

    [tex]A-25=16s^2[/tex]

    Divide both side by 16,

    [tex]\frac{A-25}{16}=\frac{16s^2}{16}[/tex]

    [tex]\frac{A-25}{16}=s^2[/tex]

    Taking root both side,

    [tex]\sqrt{\frac{A-25}{16}}=\sqrt{s^2}[/tex]

    [tex]\sqrt{\frac{A-25}{16}}=s[/tex]

    So, The required form in terms of A the value of s is [tex]s=\sqrt{\frac{A-25}{16}}[/tex]

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