SOLUTION: This question has been killing me for 2 hours now, please help: A rectangular sheet of tin is 15cm long and 9cm wide. A uniform strip is to be cut off around the sheet. The rem

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Question 214496: This question has been killing me for 2 hours now, please help:
A rectangular sheet of tin is 15cm long and 9cm wide. A uniform strip is to be cut off around the sheet. The remaining area is to be 112cm^2.
Calculate the width of the strip.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

If the uniform width is then the new length and width must be and . The area is the length times the width, so:





In standard form:



Solve the quadratic for . You will get two roots. One of them is larger than 9, so twice that, subtracted from either 9 or 15 is less than zero. Exclude that root. The other one is your answer.

John