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densk [106]
2 years ago
7

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?
Mathematics
1 answer:
alexdok [17]2 years ago
5 0

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.

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