SOLUTION: What is the width of a uniform expansion needed all around to double the area of a 10 cm by 15 cm rectangle?

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Question 917279: What is the width of a uniform expansion needed all around to double the area of a 10 cm by 15 cm rectangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The area using the uniform widthed expansion of w is
%282w%2B10%29%282w%2B15%29

The amount of that area wanted is double of 10 by 15, so this value is
2%2A10%2A15

Those two are equal and you want to solve for w:
highlight_green%28%282w%2B10%29%282w%2B15%29=2%2A10%2A15%29

The arithmetic steps are not continued here but are for your effort.