SOLUTION: The width (w) of a rectangular solar cell is 33 cm less than its length (l). Express the perimeter (P) of the cell as a function of its width. Write your answer as an equation i

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Question 911748: The width (w) of a rectangular solar cell is 33 cm less than its length (l). Express the perimeter (P) of the cell as a function of its width.
Write your answer as an equation in the form: P=mw+b
Answer by ichigo449(30) About Me  (Show Source):
You can put this solution on YOUR website!
As practice for linear algebra, topology, differential equations/ all math later in life: THINK GEOMETRICALLY AND DRAW A PICTURE!
The perimeter of an object is the sum its side lengths or, since a rectangle is symmetrical, 2w+2l. We are given a condition on width and can thus substitute l = w+33 into the perimeter equation. Explicitly, 2w + 2(w+33) = 4w+66. Therefore P =4w+66 which is the required form.