SOLUTION: The original problem was Alice is planning a rectangular garden. Its length is 3 ft less than twice its width. Its area is 170 ft ^2. Find the dimensions of the garden. We must
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-> SOLUTION: The original problem was Alice is planning a rectangular garden. Its length is 3 ft less than twice its width. Its area is 170 ft ^2. Find the dimensions of the garden. We must
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Question 35455This question is from textbook prentic hall mathematics algebra 1
: The original problem was Alice is planning a rectangular garden. Its length is 3 ft less than twice its width. Its area is 170 ft ^2. Find the dimensions of the garden. We must write an equation and solve it. I already made the equation, which is (2w-3)(w)=170, but I do not know how to solve it. Could you show it step-by-step? This question is from textbook prentic hall mathematics algebra 1
You can put this solution on YOUR website! Let w = width of the rectangle
2w -3 = length of the rectangle
The equation is
This equation probably factors. By trial and error (or by using the quadratic formula if you are not good at factoring!!) or
Reject the negative answer since a width of a rectangle cannot be negative.
w= 10 feet
L = 2w-3 = 17 feet
Final answer is 10 feet by 17 feet.