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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.

User ASaffary
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1 Answer

7 votes
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.
User Thell
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