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The perimeter of a kite is 51 meters. If one side measures 18 meters find the measure of the opposite side.

User Tom Dunham
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4 votes

Answer:

7.5 meters

Explanation:

As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.

In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is

51 m = 2(18m + side opposite)

15 m = 2 × (side opposite)

7.5 m = side opposite

_____

Comment on side lengths

In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, opposite sides are always different lengths.

User Eugene Kulabuhov
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