Question

Por favor me ajuda.
x = 40m e y =45m.


x = 50m e y =37,5m.


x = 40m e y =47,5m.


x = 46,66m e y =40m.


x = 60m e y =30m.

Answer 1

$3x+4y=300$

$y= \dfrac{300-3x}{4}$

$A=x.y=x.\dfrac{300-3x}{4}=\dfrac{300x-3 x^{2} }{4}=- \dfrac{3}{4} x^{2} + 75x$

Área máxima → $x= \dfrac{-b}{2a} = \dfrac{-75}{2.(- \frac{3}{4} )} =\dfrac{75}{\frac{3}{2} }=75. \dfrac{2}{3} =25.2=50m$

$y= \dfrac{300-3x}{4}= \dfrac{300-3.50}{4}= \dfrac{300-150}{4}= \dfrac{150}{4}=37,5m$