SOLUTION: A rectangle garden is 10ft longer than it is wide. Its area is 875 ft squared. What are its dimensions?

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Question 105103This question is from textbook Precalculus
: A rectangle garden is 10ft longer than it is wide. Its area is 875 ft squared. What are its dimensions? This question is from textbook Precalculus

Answer by kmcruz09(38)   (Show Source): You can put this solution on YOUR website!
First, let as assume.
Let x = the width of the plot
x + 10 = length of the plot
Then the area is x(x + 10)
Since it is stated in the problem that the area is 875 square feet, our final equation will be:

Solve it:



Applying the quadratic formula





Now we can solve for the two roots
or
or
or
But since we are looking for a real positive number, let us take as our answer. Therefore, the width is 25 ft and the length is 35 ft.
Thank you. ~kmcruz09~

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