SOLUTION: A roll of wire 105cm long wraps exactly three times around a triangular piece of wood. If the triangle has sides with lengths 2x cm, 5x-3 and 3x+8cm, find the dimensions of the tr

Question 144791: A roll of wire 105cm long wraps exactly three times around a triangular piece of wood. If the triangle has sides with lengths 2x cm, 5x-3 and 3x+8cm, find the dimensions of the triangle.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
3*2x+3(5x-3)+3(3x+8)=105
6x+15x-9+9x+24=105
30x=105+9-24
30x=90
x=90/30
x=3
2*3=6cm. for one side.
5*3-3=15-3=12cm. for the second side.
3*3+8=9+8=17cm. for the third side.
proof:
3*6+3*12+3*17=105
18+36+51=105
105=105

RELATED QUESTIONS
A triangular park has sides 120 m,50 m and 80 m. Find the area of triangular park. A wire (answered by ikleyn)

A piece of wood measures y cm in length and 3x cm in width. A worker intends to cut the... (answered by solver91311)

A 65 foot piece of wood is cut into 2 unequal parts. If the shorter piece is 7 less than... (answered by 2897696)

a piano wire 24in. long is cut into two pieces. the longer piece is 4in. more than three... (answered by scott8148)

A 48 foot long piece of cable wire is to be cut into three pieces so that the second... (answered by advanced_Learner)

A piece of wire 5.5 m long is bent into a triangular shape. One side is 1.5m long and... (answered by amarjeeth123)

A man wanted a flat piece of wood in a shape of a right angled triangle,the shortest side (answered by josgarithmetic,MathTherapy)

A wire 105cm long is bent to form a rectangle.the ratio of its lenght to its width is... (answered by josgarithmetic,ikleyn)

A wire 105cm long is bent to form a rectangle te ratio of its length to its width is... (answered by Fombitz)