Question

WILL MARK U BRAINLIEST IF RIGHT PLS EXPLAIN

Answer 1

Answer:

166

Step-by-step explanation:

If the four lines are tangent to the circle, know that:

NA = KA

AD = LD

LC = MC

MB = NB

The question stated that:

NA = 18 --> KA is also 18

BN = 11 --> MB is also 11

AD = 34 --> LD is also 34

BC = 31 --> MC is 20 (Because BC is BM + MC and BM is 11)

We can just add these numbers.

(18+18) + (11 + 11) + (20+20) + (34+34)

= 36 + 22 + 40 + 68

= 76 + 90

= 166

The perimeter of ABCD is 166.

Answer 2

Answer:

130

Step-by-step explanation:

if 2 tangent segments are drawn to a circle from the same external point then they are congruent, then

AN = AK and KD = DL and  MC = LC

then AN = AK = 18 and

KD = AD - AK = 34 - 18 = 16 , so KD = DL = 16

now BM = BN = 11 , then

AB = AN + BN = 18 + 11 = 29

MC = BC - BM = 31 - 11 = 20 and LC = MC = 20 , so

CD = LC + LD = 20 + 16 = 36

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Perimeter = AB + BC + CD + AD

                 =  29 + 31 + 36 + 34

                 = 130