Answer:
New area of Eduardo's farm after the increase = x² + 4x + 4
Nova área da fazenda de Eduardo após o aumento = x² + 4x + 4
Step-by-step explanation:
English Translation
The land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically. If before the increase the land was shaped like an x-side square, what is the new area after the increases?
Solution
The previous area of Eduardo's farm is the are of a square with side lenght of x.
Area of a square = (side length)² = x²
Then, the land on Eduardo's farm was increased by 2 m horizontally and 2 m vertically.
New horizontal length of Eduardo's farm = (x+2)
New vertical length of Eduardo's farm = (x+2)
New area of Eduardo's farm = (x+2)(x+2)
= x² + 4x + 4
In Portugese/Em português
A área anterior da fazenda de Eduardo é a de um quadrado com comprimento lateral de x.
Área de um quadrado = (comprimento lateral)² = x²
Em seguida, o terreno da fazenda de Eduardo foi aumentado 2 m na horizontal e 2 m na vertical.
Novo comprimento horizontal da fazenda de Eduardo = (x + 2)
Novo comprimento vertical da fazenda de Eduardo = (x + 2)
Nova área da fazenda de Eduardo
= (x + 2) (x + 2) = x² + 4x + 4
Hope this Helps!!!
Espero que isto ajude!!!
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