The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.
Step-by-step explanation:
step 1 :
Given that,
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
step 2 :
The opposite sides are AB and CD respectively.
The another opposite sides are BC and AD respectively.
step 3 :
If both pairs of opposite sides are congruent, then
AB = CD
44+3x = 64-x
3x+x = 64-44
4x = 20
x = 5
step 4 :
BC = AD
33+y = 48-2y
y+2y = 48-33
3y = 15
y = 5
step 5 :
Subsitute x=5 and y=5 in any of the given sides,
CD = 64-x = 64-5 = 59
∴ CD = 59 cm
BC = 33+y = 33+5 = 38
∴ BC = 38 cm
The lengths of the opposite side pairs are 59 cm , 38 cm.
