El área de una propiedad en metros cuadrados, mide 704/5. Se construye una casa que ocupa 5/6 del área total. La mitad del área restante se utiliza para construir una terraza, cuanta área falta por construir?

Respuesta :

Answer:

The area left to build is [tex]\frac{704}{60}\ m^{2}[/tex]

Step-by-step explanation:

The question in English is

The area of a property in square meters, measures 704/5. A house is built that occupies 5/6 of the total area. Half of the remaining area is used to build a terrace, how much area is left to build?

we know that

The total area represent the fraction 6/6

A house represent the fraction 5/6 of the total area

The remaining area represent the fraction  (6/6)-(5/6)=1/6 of the total area

If half of the remaining area is used to build a terrace

then

the area of the terrace represent the fraction (1/6)/2=1/12 of the total area

therefore

The area left to build represent the fraction 1/12 of the total area

so

[tex](\frac{1}{12})\frac{704}{5} =\frac{704}{60}\ m^{2}[/tex]

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