SOLUTION: Can anyone please help me solve these two problems. I am really confused. And not sure what I am doing. PLEAS HELP. 1)The area of a square is 25 square meters. What is it's

Algebra ->  Exponents -> SOLUTION: Can anyone please help me solve these two problems. I am really confused. And not sure what I am doing. PLEAS HELP. 1)The area of a square is 25 square meters. What is it's       Log On


   



Question 112387: Can anyone please help me solve these two problems. I am really confused. And not sure what I am doing. PLEAS HELP.


1)The area of a square is 25 square meters. What is it's perimeter?
2) A square support unit in a television is made with a scale measuring 3 centimeters. A new model being deigned for the upcoming year will have a larger square with a side measuring 3.2 centimeters. By how much will the area of the square be increased?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) Think about the formula for finding the area of a square whose side is S:
A+=+S%5E2 But in this problem, you are told that the area, A, = 25 square meters, so substitute 25 for A and...
25+=+S%5E2 Take the square root of both sides.
5+=+S
So the length of one side of the square is 5 meters. The perimeter of a square is given by:
P+=+4S and since S = 5, substitute 5 for S and...
P+=+4%285%29
P+=+20meters.
2) The original area is:
A%5Bo%5D+=+3%5E2
A%5Bo%5D+=+9square centimeters.
The new area will be:
A%5Bn%5D+=+%283.2%29%5E2
A%5Bn%5D+=+10.24square centimeters.
The increase in the area will be the difference of these two:
A%5Bn%5D+-+A%5Bo%5D+=+10.24+-+9 = 1.24square centimeters.