SOLUTION: Mrs. Gomez asked a carpenter to construct a rectangular bulletin for her classroom. She told the carpenter that the board's area must be 18 sq. Ft. 1. Draw a diagram to illustra

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Mrs. Gomez asked a carpenter to construct a rectangular bulletin for her classroom. She told the carpenter that the board's area must be 18 sq. Ft. 1. Draw a diagram to illustra      Log On

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Question 881589: Mrs. Gomez asked a carpenter to construct a rectangular bulletin for her classroom. She told the carpenter that the board's area must be 18 sq. Ft.
1. Draw a diagram to illustrate the bulletin board.
2. What are the possible dimensions of the bulletin board. Give at least 2 pairs.
3. How did you determine the possible dimensions of the bulletin board?
4. Suppose the length of the board is 7ft longer than its width. What equation would you represent the given equation would you represent the given situation?
5. How would you describe the equation formulated?
6. Do you think you can use the equation to find the length and the width of the board?
JUSTIFY YOUR ANSWER!!!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
.
2. 2ft by 9ft 0r 3ft by 6ft
3 A = Lw = 18ft^2
4. (w+7)w = 18ft^2
5. Quadratic equation
6. Yes
w^2 + 7w - 18 = 0 (Tossing out the negative solution for unit measure)
(w+9)(w-2) = 0, w = 2ft and L = 9ft 2+%2B+7