Respuesta :
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]