Question

ABCD is a parallelogram with a perimeter of 52. If ABNM is 36 and NC is congruent to AM. Find NM

Answer 1

@helpme1.2 @jdoe0001

Answer 2

AD = BC ----------------------- (1),
AB = DC
let AM = x = NC
AB = DC = y
BN = MD = p ..................... because of 1)
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52 = 2x + 2y + 2p = 2[x+y+p]
x +y+p = 26 ---------------------------------------- (2)
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y + p + x + NM = 36
26 + NM = 36
NM = 10

Answer 3

ok thanks!

Answer 4

welcome