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 Th
e parallelogram QRST.
A. 39
B. 44
C. 88
D.100
A. 39
B. 44
C. 88
D.100
2 answers:
Answer:
(B)44
Step-by-step 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.
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