Homework Help: math

Posted by kate on Wednesday, October 19, 2011 at 6:10pm.

The area of a rectangular floor is 72 ft2. The length of the floor is 1 ft more than 3 times the width. How wide is the floor (rounded to the nearest whole number)?

math - Steve, Thursday, October 20, 2011 at 12:38am
area = width * length

length = 1+3*width

area = width * (1+3*width)
72 = w(1+3w) = w + 3w²
3w² + w - 72 = 0
w = (-1 + sqrt(865))/6 = 4.7

so, rounding up, w = 5'

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