To express the length in terms of the area, is an illustration of change of subject of formula.
The equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]
Given that:
[tex]A = \frac 12S^2[/tex]
First, multiply both sides by 2
[tex]2 \times A = \frac 12S^2 \times 2[/tex]
[tex]2 \times A = S^2[/tex]
[tex]2A = S^2[/tex]
Take positive square roots of both sides
[tex]\sqrt{2A} = \sqrt{S^2[/tex]
[tex]\sqrt{2A} = S[/tex]
Rewrite the equation as:
[tex]S =\sqrt{2A}[/tex]
Hence, the equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]
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