Correct Answer - Option 3 : 57.75 cm
Given:
ABCD is a trapezium, AB ∥ DC
M is mid-point of AD
N is mid-point of BC
AB = 40.25 cm
MN = 49 cm
Formula Used:
MN = 1/2 × (AB + CD)
In a trapezium AB ∥ DC
And M and N are mid-points of AD and BC respectively.
Calculation:
MN = 1/2 × (AB + CD)
⇒ 49 = 1/2 × (40.25 + CD)
⇒ 98 = 40.25 + CD
⇒ CD = 98 – 40.25
⇒ CD = 57.75 cm
∴ The length of CD is 57.75 cm.