Question 351281: 1.a piece of wire 44cm long is cut into two parts and each part is bent to form a square.if the total area of two square is 65sq.cm.find the perimeter of two square.
2.a particle is projeced from ground level so that its height above the groungd afer t seonds is given by 20t-5t^2m. after how any seconds is it 15m above the ground?can you explain briefly why there are two possible answers.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
One question per post. I'm going to guess you want the first one solved.
Let  represent the measure of the side of one of the squares. Then the perimeter of that square AND the measure of the piece of wire that created that square is  . The other piece of wire measures  , hence the measure of the side of the other square must be  .
The area of the first square,  , plus the area of the second square, ^2) , equals 65, so:
^2\ =\ 65)
Expand the binomial, collect like terms, put the equation into standard quadratic form, and solve for . Multiply either root by 4 to find the perimeter of one of the squares. Multiply the other root by 4 to find the perimeter of the other square.
John
My calculator said it, I believe it, that settles it
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