SOLUTION: I have been up for the whole night working on other math h.w. Now im on this one and my brain is completely dead and i can jus not figure it out. I know that to find the perimeter

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Question 439180: I have been up for the whole night working on other math h.w. Now im on this one and my brain is completely dead and i can jus not figure it out. I know that to find the perimeter of a square is 4s. Then to find the area is s^4. After that my brains jus goes dead
The perimeter of square one is 36 cm. greater than the perimeter of square two. The area of squar eone is 243 square cm more than the area of square two. Find the are of the larger square.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let x cm the perimeter of square 2, and x/4 the length of its side.
Perimeter of square 1 is (x+36) cm and its side (x+36)/4 cm.
The area of square 2 is:%28x%2F4%29%5E2 and the area of square 1 %28%28x%2B36%29%2F4%29%5E2
Since the areas of these two squares differ with 243cm%5E2 we write:
%28%28x%2B36%29%2F4%29%5E2-%28x%2F4%29%5E2=243, solving the final equation we find x=36 cm.
The area of a larger square is:%28%2836%2B36%29%2F4%29%5E2=324cm%5E2.