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?

Question

Tucker

Mathematics

20 April, 09:12

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?

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Answers (1)

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Taryn Kirby · 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.