SOLUTION: i have a rectangle with area of 180, length is (x) width is (4x+16), what are the two sides? grr i just cant wrap my mind around this

Algebra ->  Rectangles -> SOLUTION: i have a rectangle with area of 180, length is (x) width is (4x+16), what are the two sides? grr i just cant wrap my mind around this      Log On


   

Question 737906: i have a rectangle with area of 180, length is (x) width is (4x+16), what are the two sides? grr i just cant wrap my mind around this
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a rectangle is length x width.


x * (4x+16) = 180


4x%5E2+%2B+16x+=+180


4x%5E2+%2B+16x+-+180+=+0


x%5E2+%2B+4x+-+45+=+0


(x+9)(x-5) = 0


x = -9 and x = 5


-9 gives negative values for length and width. In the real world objects don't have negative lengths and widths.


x=5 so the width is 5 and the length is 4(5)+16 = 36

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