SOLUTION: A small square is constructed. Then a new square is made by increasing each side by 2 meters. The perimeter of the new square is 3 meters shorter than 5 times the length of one sid
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Question 580068: A small square is constructed. Then a new square is made by increasing each side by 2 meters. The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square. Find the dimensions of the original square.
That is the problem that I cannot figure out how to solve. I have the answer in the back on my text book but I want to know the process to solving the equation. Please help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A small square is constructed. Then a new square is made by increasing each side by 2 meters.
The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square.
Find the dimensions of the original square.
:
Let x = the length of the side of the original square
and
Let (x+2) = the side of the new square
then
4(x+2) = the perimeter of the new square
:
"The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square."
4(x+2) = 5x - 3
4x + 8 = 5x - 3
8 + 3 = 5x - 4x
11 = x
:
the original square is 11 by 11
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