the diameter of the metal rack represented is 34 cm. To add two support wires (AB and CD) each 8 cm from the center of the rack and perpendicular to the horizontal wires , how many centimeters of wire would you need?

First find the half of AB using pythagorean theorem.

17^2=8^2+b^2
289=64+b^2
or b^2=225
b=15
So AB=15+15=30 cm and CD=30 cm
Total wire needed=30+30=60 cm

Answer: 60 cm