SOLUTION: One side of a kite is 6 cm less than 4 times the length of another. The perimeter of the kites is 68 cm. Find the length of each side of the kite.

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Question 79647This question is from textbook geometry reasoning
: One side of a kite is 6 cm less than 4 times the length of another. The perimeter of the kites is 68 cm. Find the length of each side of the kite. This question is from textbook geometry reasoning

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A kite is symmetrical, so opposite sides are equal.
Let one of the shorter sides be a
The longer sides will be 4a+-+6
The perimeter is 68, so
a+%2B+a+%2B+2%2A%284a+-+6%29+=+68
2a+%2B+8a+-+12+=+68
1a+=+80
a+=+8
4a+-+6+=+4%2A8+-+6
4a+-+6+=+26
So, the sides are 8, 8, 26, 26
They add up to 68