SOLUTION: A wire, 130 cm long, is cut into two pieces. One piece is bent to form a square of side x cm and the other piece is bent to form a circle of radius r cm. The total area of the squa

Question 999931: A wire, 130 cm long, is cut into two pieces. One piece is bent to form a square of side x cm and the other piece is bent to form a circle of radius r cm. The total area of the square and the circle is A cm^2.
(a) show that A= AMP Parsing Error of [(((π+4)x�) - (260x) + 4225)/ π]: Invalid expression 'π+4)x�)-(260\x)+4225)/π': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203. .

if the formula plot doesn't work, this is the formula:
(((π+4)x�) - (260x) + 4225)/ π
(b) given that x and r can vary, find the value of x for which a has a stationary value
thanks in advance
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The contribution of length from the square is .
The contribution of length from the circle is

.
.
For the square,

For the circle,

So then,

From the length above,

Substituting into the area formula,

.
.
.
Stationary value is where the derivative of A with respect to x equals zero.

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