Question

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

Answer 1

the correct answer is b, 7 meters, because perimeter is l + l + w + w ( length + length + width + width ). 19 + 19 = 38, that’s one side now we have to find the other side. 7 + 7 = 14, 38 + 14 = 52 or 38 + 7 = 45, 45 + 7 = 52.

Answer 2

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

Answer: B) 7 meters