SOLUTION: I would just like to know the steps to solve this problem: A square's side is increased by 2 yards, which corresponds to an increase in the area by 36 square yards. How many yard

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Question 619210: I would just like to know the steps to solve this problem:
A square's side is increased by 2 yards, which corresponds to an increase in the area by 36 square yards. How many yards is the side of the initial square?
Thank you!
Found 3 solutions by Alan3354, scott8148, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A square's side is increased by 2 yards, which corresponds to an increase in the area by 36 square yards. How many yards is the side of the initial square?
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The original side = s
The original area = s^2
----
%28s%2B2%29%5E2+=+s%5E2+%2B+36
s%5E2+%2B+4s+%2B+4+=+s%5E2+%2B+36
4s + 4 = 36
s = 8

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(s + 2)^2 - s^2 = 36

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 A square's side highlight%28x%29 is increased by 2 yards,

 which corresponds to an *increase in the area by 36 square yards.

How many yards is the side of the initial square?

  (x+2)^2 - x^2 = 36yd^2

   x^2 + 4x + 4 - x^2 = 36

      4x = 32

       x = 8yds 

CHECKING our Answer***

 100- 64 = 36