Question

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?

Answer 1

Simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

Explanation:

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.

we know that Area of rectangle=Length×Breath

Area of floor of the room=(x-4)(3x-1)

(x-4)(3x-1)=x(3x-1)-4(3x-1) (Distributive property)

= 3x²-x-12x+4 (Distributive property)

= 3x²-13x+4 (On combining the like terms)

Hence, simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

Answer 2

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.