SOLUTION: i need help understand this geometry word problem: a small square is constructed. then a new square is made by increasing each side by 2 meters.the perimeter of the square is 3 me

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Question 849327: i need help understand this geometry word problem:
a small square is constructed. then a new square is made by increasing each side by 2 meters.the perimeter of the square is 3 meters shorter the five times the length of one side of the original square. find the dimensions of the original square.
i am not sure if it is writen 2+5L-3=?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Write everything you know about the original square and the increased square. Look for the equations or equation to solve for the unknown variable or variables.

ORIGINAL SQUARE
w=side length
p= perimeter,
4w=p

NEW BIG SQUARE
Now, side length made into w+2.
P = perimeter of new square.
4%28w%2B2%29=P.
P=-3%2B5w.
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Before YOU try to go any further, can you see how the last two equations involving P were obtained? Recheck my variable assignments; and recheck the problem description.



Continuing-----
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Those two formulas for capital P are equal and once equated as an equation, the only unknown variable is w.
4w%2B4%2A2=5w-3
4w%2B8=5w-3
8%2B3=5w-4w
highlight%28highlight%28highlight%28w=11%29%29%29