Lisa decided to build a trunk with a square base and a height of 50 centimeters. The cost of wood is $4 per square meter. Considering her $8 budget, Lisa must decide about dimensions of the trunk that she can built with a lid or without it.[br]Construct equations, solve it and help Lisa determine the dimensions of the trunk she can build.[br] Find the solutions of the equations:[br][list][*]Using a graphic representation[/*][*]Using a value table[/*][*]Compare the various solutions you obtained using the methods listed above, as well as the solution you can obtain using the dynamic figure (for a trunk without a lid).[/*][/list]How will the results you obtained change if Lisa decides that the base of the trunk will have a rectangular shape, with one side twice as long as the other?