Question 933128
Write an equation that expresses side l as a function of the area A and the perimeter P. What must be the relationship between P and A if this equation has a real solution?
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If this is a rectangle:
Area = L*W --> W = A/L
P = 2L + 2W --> L = (P - 2W)/2
L = P/2 - A/L
L^2 = PL/2 - A
2L^2 - PL + A = 0
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{{{L = P/4 + sqrt(P^2 - 4A)/4}}}