SOLUTION: a rug measuring 9m by 12m was installed in a recreational hall. A strip of floor of equal width was left uncovered along all edges of the hall. the area of the uncovered floor is 2
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Question 1150376: a rug measuring 9m by 12m was installed in a recreational hall. A strip of floor of equal width was left uncovered along all edges of the hall. the area of the uncovered floor is 270m^2. how wide is the uncovered strip Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52778) (Show Source):
The area of the uncovered floor = (9+2x)*(12+2x) - 9*12 = 4x^2 + 42x.
The equation to find the uniform strip width is
4x^2 + 42x = 270 square meters, or
4x^2 + 42x - 270 = 0.
= = .
Only positive root x = = 4.5 makes sense.
ANSWER. The uniform width of the strip is 4.5 meters.
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a rug measuring 9m by 12m was installed in a recreational hall. A strip of floor of equal width was left uncovered along all edges of the hall. the area of the uncovered floor is 270m^2. how wide is the uncovered strip
IKLEYN made a mistake. Her denominator should be 8 i/o 16.
Thus, the answer's actually