Homework Sourse30 I got this word problem wrong too Ugh Someone please helP
30. I got this word problem wrong too! Ugh! Someone please helP!! Please show me your steps so that I can figure out how to do these! Thanks so much!
Solution
2r = x
where r is the radius of the circle.
r = x/2
Area of the circle = (x/2)2 = x2/4.
4l = 17-x
where l is the length of the side of the square.
l = (17-x)/4
Area of the square = l2
Net area = (17-x)2/16
total area = x2/4 + (17-x)2/16
A(x) = x2/4 + (17-x)2/16
A\'(x) = x/2 + [-(17-x)/8]
A\'(x) = 0, x/2 + [-(17-x)/8] = 0
8x - 2(17-x) = 0
8x + 2x - 34 = 0
x = 34/(8+2) = 17/(4+).
The wire should be cut so that 7.476 feet are used for the circle and 9.524 feet are used for the square.
The radius of the circle = 1.190 feet
Each side of the square = 2.381 feet
