The length of a rectangle is four more than three times its width. the area of the rectangle is 25. write an algebraic model for this situation. solve the equation to find the dimensions of the rectangle.

1 answer
Question:

The length of a rectangle is four more than three times its width. the area of the rectangle is 25. write an algebraic model for this situation. solve the equation to find the dimensions of the rectangle.

Answers

width (w) = wLength (L) = 3w + 4Area (A) = L x w25 = (3w + 4)w25 = 3w² + 4w0 = 3w² + 4w - 25w = [tex] \frac{-2 +/-\sqrt{79} }{3} [/tex]w ≈ 2.3, w ≈ -3.6 (width cannot be negative!)w ≈ 2.3Length (L) = 3w + 4 = 3(2.3) + 4 = 6.9 + 4 = 10.9Answer: width=2.3, Length=10.9

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