SOLUTION: Thank you in advance for your help with this problem. A piece of wire 60 inches long is cut into tow pieces and then each piece is bent into the shape of square. If the sum of th

Question 142779This question is from textbook
: Thank you in advance for your help with this problem. A piece of wire 60 inches long is cut into tow pieces and then each piece is bent into the shape of square. If the sum of the areas of the two squares is 117 square inches find the length of each piece of wire. This question is from textbook

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X^2+Y^2=117
4X+4Y=60
4X=60-4Y
X=60/4-4Y/4
X=15-Y
(15-Y)^2+Y^2=117
225-30Y+Y^2+Y^2=117
2Y62-30Y+225-117=0
2Y^2-30Y+108=0
2(Y^2-15Y+54)=0
2(Y-9)(Y-6)=0
Y-9=0
Y=9 ANSWER.
Y-6=0
Y=6 ANSWER.
PROOFS:
4*9+4*6=60
36=24=60
60=60
9^2+6^2=117
81+36=117
117=117
RELATED QUESTIONS
I need help to form and solve an equation from the following: Karen has a piece of... (answered by josgarithmetic)

Hello, may you please help me on the problem below? A piece of wire 100cm long is to... (answered by mananth,MathTherapy)

A wire 60 inches long is cut into two pieces whose lengths have a ratio of 3 to 1. To... (answered by josmiceli)

Im a little lost on this word problem any help would be greatly appreciated. A board... (answered by stanbon,tutorcecilia)

Please help me answer this question: A wire is 224cm long, it has been cut in 3 pieces,... (answered by ankor@dixie-net.com)

Hi! May I get help with this problem? A wire 220 in. long is cut into two pieces. One... (answered by solver91311)

A piece of wire L inches long is cut into two pieces. Each piece is then bent to form a... (answered by ptaylor)

A wire 350 mm long is cut in two pieces. The first piece is shaped into a circle, and the (answered by gonzo,solver91311)

A wire 180 centimeters long is to be cut into three pieces. The length of one piece is... (answered by stanbon)