The length is 4 units less than 3 times the width. the perimeter is 22 units more than twice the width.

L = length

w = width

p = perimeter

 perimeter = 2L +2W

L = 3w-4

p = 2w+22

so

2w+22 = 2(3w-4) + 2w

2w+22 = 6w-8+2w

2w+22 = 8w-8

2w+30 = 8w

30=6w

w = 30/6 = 5

width = 5 units

Length = 3w-4 = 3*5 = 15-4 = 11

 perimeter = 2w+22 = 2*5 =10+22 = 32

check: p = 2L +2w = 2(11) + 2(5) = 22+10 = 32

Making an equation,

Let heralds age be x

10+6x=4x+40

Seperating constants and variables,

6x-4x=40-10

2x=30

x=30/2

=15

Heralds age is 15,

Substitute x with 15 in the equation for rechecking