SOLUTION: The perimeter of a square is a inches and the area of that square is b square inches. If a=b, what is the length of a diagonal?
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Question 620559: The perimeter of a square is a inches and the area of that square is b square inches. If a=b, what is the length of a diagonal?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the perimeter of the square is 
, then the measure of a side has to be 
, so the area must be ^2)
, but the area is 
, so:
^2\ =\ b)
But since 
,
^2\ =\ a)
Solve for , then calculate so that you have the measure of one of the sides of the square. Then use Pythagoras to calculate the measure of a diagonal or use the fact that the diagonal of a square measuring 
on a side measures 
.
John
My calculator said it, I believe it, that settles it
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