Question 94739
Let x = length of the 2nd side
:
It says," The first side is two-thirds of the second side." Therefore:
1st side = 2x/3
:
It also says,"The third side is 14 meters shorter than the second side." Therefore:
3rd side = (x-14)
:
What are the lengths of the three sides of the triangular region?
It says "A triangular region has a perimeter of 66 meters." Therefore:
:
side 1 + side 2 + side 3 = 66
(2x/3) + x + (x-14) = 66
:
Multiply equation by 3 to get rid of the denominator:
2x + 3x + 3(x-14) = 3(66)
2x + 3x + 3x - 42 = 198
 8x = 198 + 42
 8x = 240
 x = 240/8
 x = 30 m, the length of side 2
:
2/3(30) = 20 m, the length of side 1
:
30 - 14 = 16m, the length of side 3
:
:
Check solution, using the perimeter:
20 + 16 + 30 = 66