Questão de Matemática e suas Tecnologias #01a0e94a

A farmer intends to build a chicken coop occupying a flat rectangular area, with sides of lengths $L$ meters and $C$ meters. The sides will be enclosed by different types of wire mesh. For the sides of length $L$ meters, a wire mesh costing R$20.00perlinearmeterwillbeused,whilefortheothertwosides,onecostingR$ 15.00 will be used. The farmer wants to spend, at most, R$ 6,000.00 on the purchase of all the mesh needed for the chicken coop, and desires the chicken coop to have the largest possible area.

What will be the measure, in meters, of the longest side of the chicken coop?