The perimeter of a kite is 52 meters. if one side measures 19 meters find the measure of the opposite side.

a. 16.5 meters
b. 7 meters
c. 14 meters
d. 19 meters

For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.

The four sides add up to 52, so

x+x+y+y = perimeter

19+19+y+y = 52

38+2y = 52

2y+38-38 = 52-38 subtract 38 from both sides

2y = 14

2y/2 = 14/2 ... divide both sides by 2

y = 7

Therefore the opposite side of the 19 meter side is 7 meters

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step-by-step explanation:

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