Question

The diagonals of a parallelogram QRST, TR And QS, Intersect at point U, if RS = 10 , ST=12,And RU=9.5 , Find The Perimeter Of The parallelogram QRST.

A. 39
B. 44
C. 88
D.100

Answer 1

The answer is B. 44

Answer 2

(B)44

Explanation:

It is given that The diagonals of a parallelogram QRST, TR And QS, Intersect at point U, if RS = 10 , ST=12,And RU=9.5.

Now, Since, RS =10, then RS=QT=10 (Opposite sides of parallelogram are equal).

And, ST=12, then ST=QR=12 (Opposite sides of parallelogram are equal)

Thus, The perimeter of the parallelogram QRST is given as:

Perimeter=Sum of all the sides

Perimeter=QR+RS+ST+TQ

Perimeter=12+10+12+10

Perimeter=44

Therefore, the perimeter of the given parallelogram QRST is 44 units.

Hence, option B is correct.