Question

Instructors led an exercise class from a raised rectangular platform at the front of the room. The width of the platform was (3x- 1) feet and the area was (9x^2 +6x- 3) ft^2. Find the length of this platform. After the exercise studio is remodeled, the area of the platform will be (9x2+ 12x+ 3) ft^2. By how many feet will the width of the platform change?

Answer 1

I will not do it all. I will set it up for you.

Area = length times width

A = LW

(9x^2 + 6x - 3) = L(3x - 1)

To find L, divide both sides by (3x - 1) using long division.

After finding L, go back to A = LW but this time use the NEW AREA given to be (9x^2+ 12x+ 3).

Set Up:

(9x^2+ 12x+ 3) = LW

Note: Plug the L you found above into (9x^2+ 12x+ 3) = LW and then solve for W.

Take it from here.