Posted by **Anonymous** on Monday, June 21, 2010 at 9:11pm.

One side of a kite is 4 cm less than four times the length of another side. The perimeter of the kite is 59 cm. Find the lengths of the sides of the kite.

- geometry -
**MathMate**, Monday, June 21, 2010 at 10:03pm
A kite is a quadrilateral whose diagonals intersect at 90°.

One of the diagonals is an axis of symmetry that divides the figure into two congruent triangles.

So if "One side of a kite is 4 cm less than four times the length of another side (x). ", we have

(4x-4) + x = 59/2

5x = 33.5

x=6.7 cm

The other side = 4x-4=22.8 cm

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