wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Given below is a parallelogram ABCD. Find the value of x and y.


A
3 cm, 4 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4 cm, 6 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1 cm, 2 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2 cm, 4 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 2 cm, 4 cm

The given figure ABCD, is a parallelogram such that AO = 10 cm and BO = 12 cm

For a parallelogram, we know that the diagonals bisects each other.

Hence, AO = OC and BO = OD

Now,
OC = 10 cm [AO=OC]
2y + 2 = 10 cm
2y = 10 cm - 2 cm
2y = 8 cm
y = 4 cm

And
OD = 12 cm [OD=BO]
4x + 4 = 12 cm
4x = 12 - 4 cm
4x = 8 cm
x = 2 cm

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Diagonals of the Parallelogram Bisect each other
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon