The perimeter of a kite is 66 cm. the length of one side is 3 less than twice the length of another. Find the length of each side of the kite.

Let

x = length of one side

y = another length

The second statement is expressed algebraically into

x = 2y - 3

The formula for a perimeter P of a kite (as a parallelogram shaped):

P = 2x + 2y

Since x = 2y - 3 and P = 66, substitute them into

66 = 2 (2y - 3) + 2y

Solving for y,

66 = 4y - 6 + 2y

66 = 6y - 6

-6y = - 6 - 66

-6y = - 72

(-6y) / - 6 = - 72/-6

y = 12

Solving for x using the expression,

x = 2y - 3

x = 2 (12) - 3

x = 24 - 3

x = 21

Therefore the length of the two sides are 12 and 21.