Question

The following figures GUNS and RUNS are parallelograms.Find X and Y.​

Answer 1

Step-by-step explanation:

Solutions :-

i)

Given that GUNS quadrialateral

GUNS is a Parallelogram

We know that

Opposite sides are parallel and equal in a Parallelogram

=> GS =UN

=> 3x = 18

=> x = 18/3

=> x = 6 units

and

GU = SN

=> 3y-1 = 26

=> 3y = 26+1

=> 3y = 27

=> y = 27/3

=> y = 9 units

ii)

Given that

RUNS is a Parallelogram

RN and US are the two diagonals

We know that

The diagonals bisect to each other in a Parallelogram

=> x+y = 16 -------(1)

and

y+7 = 20

=>y = 20-7

=> y = 13 units

on Substituting the value of y in (1)

=> x+13 = 16

=> x = 16-13

=> x = 3 units

Answer:-

i) x = 6 units and y = 9 units

ii) x = 3 units and y = 13 units

Used formulae:-

• Opposite sides are parallel and equal in a Parallelogram
• The diagonals bisect to each other in a Parallelogram

Answer 2

Answer:

$\huge \bf\blue {Question}$

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

$\huge \bf \blue{Answer}$

(i)GS=UN[Opposite sides of parallelogram are equal]

3x=18

$\small \sf{x = \frac{ \cancel{ {18}}^{ \: 6} }{ \cancel{ {3}}^{1} } = 6 }$

GU=SN[Opposite sides of parallelogram are equal]

3y-1=26

3y=26+1

3y=27

$\small \sf{y = \frac{ \cancel{ {27}}^{ \: 9} }{ \cancel{ {3}}^{ \: 1} } = 9}$

Answer:- x=6,y=9

(ii)OU=OS[Opposite sides of parallelogram are equal]

y+7=20

y=20-7

y=13

ON=OR[Opposite sides of parallelogram are equal]

x+y=16

x+13

x=16-13=3