Class 8 chapter number 3 exercise 3.3 question number 8

Q8 :
The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in
cm)

Answer :
(i)We know that the lengths of opposite sides of a parallelogram are equal to each other.
GU = SN
3y - 1 = 26
3y = 27
y = 9
SG = NU
3x = 18
x = 6
Hence, the measures of x and y are 6 cm and 9 cm respectively.
(ii)We know that the diagonals of a parallelogram bisect each other.
y + 7 = 20
y = 13
x + y = 16
x + 13 = 16
x = 3
Hence, the measures of x and y are 3 cm and 13 cm respectively.