A conference room is in the shape of a rectangle. Its floor has a length of (x - 4) meters and a width of (3x - 1) meters. The expression below represents the area of the floor of the room in square meters: (x - 4) (3x - 1) Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

Question

Nigel Forbes

Mathematics

8 June, 09:57

A conference room is in the shape of a rectangle. Its floor has a length of (x - 4) meters and a width of (3x - 1) meters. The expression below represents the area of the floor of the room in square meters: (x - 4) (3x - 1) Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

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Jocelyn Marshall · Answer 1

You have to foil. Times the first two: x (3x). Then times the outer two: x (-1). Then times the inner two: - 4 (3x). Finally, times the last two: - 4 (-1). Your equation would be 3x squared - 1x - 12x + 4. Therefore, the simplified answer is 3x^2 (3x to the second power) - 13x + 4.