#### Answer

a. x + (2x + 1) + (3x - 2) = 35
b. x = 6
c. 6 meters, 13 meters, 16 meters

#### Work Step by Step

a. The equation for the perimeter is written as the sum of all of its sides equals35: x + (2x + 1) + (3x - 2) = 35
b. Solve the equation for x:
x + (2x + 1) + (3x - 2) = 35
6x - 1 = 35
6x = 36
x = 6
c. If x = 6, then one side has a length of 6 meters, another of 2(6) + 1 = 13 meters, and the other of 3(6) - 2 = 16 meters.