SOLUTION: The area of a rectangular wall is 275 square feet. Its length is 8 feet shorter than three times its width. Find the length of the wall.

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Question 1124071: The area of a rectangular wall is 275 square feet. Its length is 8 feet shorter than three times its width. Find the length of the wall.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Short solution :  275 = 25 *11;   25 = 3*11 - 8


Long solution.  


Area = W*L = W*(3W-8) = 275 sq.ft.


3W^2  - 8W -275 = 0.


Solve this quadratic equation by any way you want / (you know).



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w%283w-8%29=275, width being w, length 3w-8
-
3w%5E2-8w-275=0
discrim, 64%2B12%2A275=3364=58%5E2
w=%288%2B58%29%2F6
w=11------width

LENGTH
3%2A11-8
highlight%2825%29