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

**Solution:**

(i) GUNS

In a parallelogram, the opposite sides have equal length.

In GUNS, SG = NU

3x = 18

x = 18/3

x = 6

Also SN = GU

26 = 3y -1

3y = 26 +1

y = 27/3

y = 9

Hence, the measures of x and y are 6 cm and 9 cm respectively in GUNS.

(ii) RUNS

The diagonals of a parallelogram bisect each other.

Thus in parallelogram RUNS,

Considering diagonal SU, y + 7 = 20

y = 20 - 7

y = 13

Considering diagonl RN, x + y = 16

x + 13 = 16

x = 3

Hence, the measure of x and y are 3 cm and 13 cm respectively in RUNS.

**Video Solution:**

## The following figures GUNS and RUNS are parallelograms. Find x and y

### NCERT Solutions for Class 8 Maths - Chapter 3 Exercise 3.3 Question 8

**Summary:**

The following figures GUNS and RUNS are parallelograms. Hence, the measures of x and y are 6 cm and 9 cm respectively in GUNS. The measure of x and y is 3 cm and 13 cm respectively in RUNS