One side of a kite is 6 cm less than 4 times the length of another. the perimeter of the kite is 68 cm. find the length of each side of the kite.

Perimeter:

p = 2b + 2h = 68

b = 4h - 6 (per problem statement)

substituting for b in the perimeter equation:

p = 2(4h - 6) + 2h = 68

(2)(4h) - (2)(6) + 2h = 68

8h - 12 + 2h = 68

10h - 12 = 68

10h = 68 + 12

10h = 80

h = 80/10

h = 8

b = 4(8) - 6 = 32 - 6 = 26

p = 2(26) + 2(8)

p = 52 + 16 = 68 . . . [OK]

b = 26 cm
h = 8 cm