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A community center is expanding the size
of its rectangular meeting hall. The hall is
currently 300 ft long and 150 ft wide. The
center plans to expand both the length and
the width of the meeting hall by 3y ft.
What polynomial in standard form repre-
sents the area of the expanded meeting
hall? What is the total area of new ex-
panded hall if y = 4? What is the area of
only the new edition?

Respuesta :

So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).

The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2

But the proper way to write it is 9y^2+1350y+45000

When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144

So the new area would be 99144 ft^2

Hope this helped!

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